Common Core: 7th Grade Math : Know and Use the Formulas for the Area and Circumference of a Circle: CCSS.Math.Content.7.G.B.4

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

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Example Question #263 : Geometry

What is the circumference of a circle with a radius equal to ?

Possible Answers:

Correct answer:

Explanation:

The circumference can be solved using the following equation:

Example Question #1 : How To Find Circumference

The radius of a circle is . Give the circumference of the circle in terms of .

Possible Answers:

Correct answer:

Explanation:

The circumference can be calculated as , where is the radius of the circle.

Example Question #1 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

The area of a circle is . Give the circumference  of the circle in terms of .

Let .

Possible Answers:

Correct answer:

Explanation:

The area of a circle can be calculated as , where   is the radius of the circle. 

The circumference can be calculated as , where is the radius of the circle.

 

 

 

Example Question #264 : Geometry

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

Possible Answers:

Correct answer:

Explanation:

The circumference can be solved using the following equation:

Where  represents the radius. Therefore, when we substitute our radius in we get:

Example Question #265 : Geometry

The perimeter of a given rectangle is equal to the circumference of a given circle. The circle has radius  inches; the width of the rectangle is  inches. What is the length of the rectangle?

Possible Answers:

 inches

 inches

 inches

 inches

 inches

Correct answer:

 inches

Explanation:

The circumference of a circle with radius  inches is 

 inches.

The perimeter of the rectangle is therefore  inches. To find its length, substitute  and  into the equation and solve for :

 inches

Example Question #5 : Area Of A Circle

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

Possible Answers:

Correct answer:

Explanation:

The formula for finding the area of a circle is . In this formula, represents the radius of the circle.  Since the question only gives us the measurement of the diameter of the circle, we must calculate the radius.  In order to do this, we divide the diameter by .

Now we use for in our equation.

 

Example Question #6 : Area Of A Circle

What is the area of a circle with a diameter equal to 6?

Possible Answers:

Correct answer:

Explanation:

First, solve for radius:

Then, solve for area:

Example Question #13 : How To Find The Area Of A Circle

The diameter of a circle is . Give the area of the circle.

 

 

Possible Answers:

Correct answer:

Explanation:

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

,

where is the diameter of the circle, and is approximately .

Example Question #8 : Area Of A Circle

The diameter of a circle is . Give the area of the circle in terms of .

Possible Answers:

Correct answer:

Explanation:

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

,

where   is the diameter of the circle and is approximately .

Example Question #14 : How To Find The Area Of A Circle

The radius of a circle is  . Give the area of the circle.

Possible Answers:

Correct answer:

Explanation:

The area of a circle can be calculated as , where   is the radius of the circle, and is approximately .

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