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In Mathematics / College | 2025-07-05

What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
A. 14 in.
B. 41 in.
C. 21 in.
D. 44 in.

Asked by swannswife

Answer (1)

Recall the formula for the circumference of a circle: C = 2 π r .
Substitute the given radius r = 7 inches into the formula: C = 2 π ( 7 ) = 14 π .
Calculate the circumference using π ≈ 3.14159 : C ≈ 14 × 3.14159 ≈ 43.98226 .
Round the circumference to the nearest inch: 44 ​ inches.

Explanation

Problem Analysis We are given a circle with a radius of 7 inches, and we need to find its circumference, rounded to the nearest inch.

Circumference Formula The formula for the circumference C of a circle with radius r is given by:


C = 2 π r

Substitute the Radius Substitute the given radius r = 7 inches into the formula:

C = 2 π ( 7 ) = 14 π

Calculate Circumference Using the value of π ≈ 3.14159 , we can calculate the circumference:

C = 14 × 3.14159 ≈ 43.98226

Round to Nearest Inch Rounding the circumference to the nearest inch, we get:

C ≈ 44 inches

Final Answer Therefore, the circumference of the circle is approximately 44 inches.

Examples
Imagine you're designing a circular garden and need to build a fence around it. Knowing the radius of the garden, you can use the circumference formula to calculate the exact length of fencing material required. This ensures you purchase the right amount of materials, saving you time and money. For instance, if your garden has a radius of 7 inches, the fence would need to be approximately 44 inches long to enclose the garden perfectly.

Answered by GinnyAnswer | 2025-07-06

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