Area of a circle - TACHS Math

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Question

Find the area of a circle with the following radius:

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Answer

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

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Question

Which is equal to the radius of a circle with area $400 \pi$

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Answer

The formula for the area of a circle, given its radius , is $A = \pi $r^{2}$$ . Replace with $400 \pi$ :

$\pi $r^{2}$ = 400 \pi$

To find the radius , first, divide both sides by $\pi$ :

$\frac{\pi $r^{2}$$}{\pi} = $\frac{400 \pi}{\pi}$

Now, find the square root of both sides. Since $400 = 20 \times 20$ , 20 is the square root of 400, so

.

The radius of the given circle is 20.

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Question

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

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Answer

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

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Question

What is the area of a circle that has a diameter of ?

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Answer

Recall how to find the area of a circle:

$\text{Area of Circle}$=\pi \times $$\text{radius}$^2$

To find the length of the radius, divide the diameter by two.

$$\text{radius}$=\frac{12}{2}$=6$

Now, plug it into the equation for the area of a circle.

$$\text{Area of Circle}$=\pi \times $6^2$=36\pi=113.1$

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Question

Find the area of a circle with the following radius:

Tap to reveal answer

Answer

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

← Didn't Know|Knew It →

Question

Which is equal to the radius of a circle with area $400 \pi$

Tap to reveal answer

Answer

The formula for the area of a circle, given its radius , is $A = \pi $r^{2}$$ . Replace with $400 \pi$ :

$\pi $r^{2}$ = 400 \pi$

To find the radius , first, divide both sides by $\pi$ :

$\frac{\pi $r^{2}$$}{\pi} = $\frac{400 \pi}{\pi}$

Now, find the square root of both sides. Since $400 = 20 \times 20$ , 20 is the square root of 400, so

.

The radius of the given circle is 20.

← Didn't Know|Knew It →

Question

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

Tap to reveal answer

Answer

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

← Didn't Know|Knew It →

Question

What is the area of a circle that has a diameter of ?

Tap to reveal answer

Answer

Recall how to find the area of a circle:

$\text{Area of Circle}$=\pi \times $$\text{radius}$^2$

To find the length of the radius, divide the diameter by two.

$$\text{radius}$=\frac{12}{2}$=6$

Now, plug it into the equation for the area of a circle.

$$\text{Area of Circle}$=\pi \times $6^2$=36\pi=113.1$

← Didn't Know|Knew It →

Question

Find the area of a circle with the following radius:

Tap to reveal answer

Answer

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

← Didn't Know|Knew It →

Question

Which is equal to the radius of a circle with area $400 \pi$

Tap to reveal answer

Answer

The formula for the area of a circle, given its radius , is $A = \pi $r^{2}$$ . Replace with $400 \pi$ :

$\pi $r^{2}$ = 400 \pi$

To find the radius , first, divide both sides by $\pi$ :

$\frac{\pi $r^{2}$$}{\pi} = $\frac{400 \pi}{\pi}$

Now, find the square root of both sides. Since $400 = 20 \times 20$ , 20 is the square root of 400, so

.

The radius of the given circle is 20.

← Didn't Know|Knew It →

Question

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

Tap to reveal answer

Answer

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

← Didn't Know|Knew It →

Question

What is the area of a circle that has a diameter of ?

Tap to reveal answer

Answer

Recall how to find the area of a circle:

$\text{Area of Circle}$=\pi \times $$\text{radius}$^2$

To find the length of the radius, divide the diameter by two.

$$\text{radius}$=\frac{12}{2}$=6$

Now, plug it into the equation for the area of a circle.

$$\text{Area of Circle}$=\pi \times $6^2$=36\pi=113.1$

← Didn't Know|Knew It →

Question

Find the area of a circle with the following radius:

Tap to reveal answer

Answer

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

← Didn't Know|Knew It →

Question

Which is equal to the radius of a circle with area $400 \pi$

Tap to reveal answer

Answer

The formula for the area of a circle, given its radius , is $A = \pi $r^{2}$$ . Replace with $400 \pi$ :

$\pi $r^{2}$ = 400 \pi$

To find the radius , first, divide both sides by $\pi$ :

$\frac{\pi $r^{2}$$}{\pi} = $\frac{400 \pi}{\pi}$

Now, find the square root of both sides. Since $400 = 20 \times 20$ , 20 is the square root of 400, so

.

The radius of the given circle is 20.

← Didn't Know|Knew It →

Question

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

Tap to reveal answer

Answer

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

← Didn't Know|Knew It →

Question

What is the area of a circle that has a diameter of ?

Tap to reveal answer

Answer

Recall how to find the area of a circle:

$\text{Area of Circle}$=\pi \times $$\text{radius}$^2$

To find the length of the radius, divide the diameter by two.

$$\text{radius}$=\frac{12}{2}$=6$

Now, plug it into the equation for the area of a circle.

$$\text{Area of Circle}$=\pi \times $6^2$=36\pi=113.1$

← Didn't Know|Knew It →

Knew It

Area of a circle - TACHS Math

Find the area of a circle with the following radius:

The area of a circle can be calculated using the following formula: In this formula the radius is denoted by the variable, . Substitute in the known variables and solve for the circle's area.

Which is equal to the radius of a circle with area

The formula for the area of a circle, given its radius , is . Replace with : To find the radius , first, divide both sides by : Now, find the square root of both sides. Since , 20 is the square root of 400, so . The radius of the given circle is 20.

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined. This is an example of which kind of sampling?

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

What is the area of a circle that has a diameter of ?

Recall how to find the area of a circle: To find the length of the radius, divide the diameter by two. Now, plug it into the equation for the area of a circle.

Find the area of a circle with the following radius:

The area of a circle can be calculated using the following formula: In this formula the radius is denoted by the variable, . Substitute in the known variables and solve for the circle's area.

Which is equal to the radius of a circle with area

The formula for the area of a circle, given its radius , is . Replace with : To find the radius , first, divide both sides by : Now, find the square root of both sides. Since , 20 is the square root of 400, so . The radius of the given circle is 20.

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined. This is an example of which kind of sampling?

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

What is the area of a circle that has a diameter of ?

Recall how to find the area of a circle: To find the length of the radius, divide the diameter by two. Now, plug it into the equation for the area of a circle.

Find the area of a circle with the following radius:

The area of a circle can be calculated using the following formula: In this formula the radius is denoted by the variable, . Substitute in the known variables and solve for the circle's area.

Which is equal to the radius of a circle with area

The formula for the area of a circle, given its radius , is . Replace with : To find the radius , first, divide both sides by : Now, find the square root of both sides. Since , 20 is the square root of 400, so . The radius of the given circle is 20.

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined. This is an example of which kind of sampling?

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

What is the area of a circle that has a diameter of ?

Recall how to find the area of a circle: To find the length of the radius, divide the diameter by two. Now, plug it into the equation for the area of a circle.

Find the area of a circle with the following radius:

The area of a circle can be calculated using the following formula: In this formula the radius is denoted by the variable, . Substitute in the known variables and solve for the circle's area.

Which is equal to the radius of a circle with area

The formula for the area of a circle, given its radius , is . Replace with : To find the radius , first, divide both sides by : Now, find the square root of both sides. Since , 20 is the square root of 400, so . The radius of the given circle is 20.

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined. This is an example of which kind of sampling?

The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.

What is the area of a circle that has a diameter of ?

Recall how to find the area of a circle: To find the length of the radius, divide the diameter by two. Now, plug it into the equation for the area of a circle.

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

Which is equal to the radius of a circle with area $400 \pi$

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

Which is equal to the radius of a circle with area $400 \pi$

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

Which is equal to the radius of a circle with area $400 \pi$

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?

The area of a circle can be calculated using the following formula:

$A=\pi $r^2$$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times $7^2$$

$A=49\pi$

Which is equal to the radius of a circle with area $400 \pi$

To determine whether a machine on an assembly line is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.

This is an example of which kind of sampling?