How to find circumference

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Math › How to find circumference

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1

What is the circumference of a circle with a radius of 12?

What is the circumference of a circle with a radius of 12?

Explanation

To find the circumference of a circle given the radius we must first know the equation for the circumference of a circle which is

We then plug in the number for the radius into the equation yielding

We multiply to find the value for the circumference is .

The answer is .

2

A circle with an area of 13_π_ in2 is centered at point C. What is the circumference of this circle?

2√13_π_

√13_π_

26_π_

√26_π_

13_π_

Explanation

The formula for the area of a circle is A = _πr_2.

We are given the area, and by substitution we know that 13_π_ = _πr_2.

We divide out the π and are left with 13 = _r_2.

We take the square root of r to find that r = √13.

We find the circumference of the circle with the formula C = 2_πr_.

We then plug in our values to find C = 2√13_π_.

3

Circle_with_radius

Find the circumference of a circle with a radius of .

Not enough information to solve

Explanation

In order to find the circumference, we will use the formula .

4

If a circle has an area of , what is the circumference of the circle?

Explanation

The formula for the area of a circle is πr2. For this particular circle, the area is 81π, so 81π = πr2. Divide both sides by π and we are left with r2=81. Take the square root of both sides to find r=9. The formula for the circumference of the circle is 2πr = 2π(9) = 18π. The correct answer is 18π.

5

This figure is a circle with a radius of 3 cm.Circle

What is the circumference of the circle (cm)?

Explanation

In order to find the circumference of a circle (which is the perimeter or distance around the circle), you must double the radius and multiply by pi ().

6

A circle has the equation below. What is the circumference of the circle?

(x – 2)2 + (y + 3)2 = 9

Explanation

The radius is 3. Yielding a circumference of .

7

What is the circumference of a circle with a radius of 4?

Explanation

The equation for the circumference of a circle is , so by substituting the given radius into the equation, we get .

8

A circle has a diameter of 13 cm. What is the circle's circumference?

Explanation

To find the circumference of a circle, multiply the circle's diameter by .

9

Find the circumference of the following circle:

21

Explanation

The formula for the circumference of a circle is

,

where is the radius of the circle.

Plugging in our values, we get:

10

A 6 by 8 rectangle is inscribed in a circle. What is the circumference of the circle?

6_π_

8_π_

10_π_

25_π_

12_π_

Explanation

First you must draw the diagram. The diagonal of the rectangle is also the diameter of the circle. The diagonal is the hypotenuse of a multiple of 2 of a 3,4,5 triangle, and therefore is 10.
Circumference = π * diameter = 10_π_.

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