QuestionJuly 15, 2025

The radius of a circle is 7 feet. (a) What is the circumference of the circle? (b) What is the area of the circle?

The radius of a circle is 7 feet. (a) What is the circumference of the circle? (b) What is the area of the circle?
The radius of a circle is 7 feet.
(a) What is the circumference of the circle?
(b) What is the area of the circle?

Solution
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Answer

(a) Circumference: 14\pi feet; (b) Area: 49\pi square feet. Explanation 1. Calculate the circumference Use the formula for circumference: **C = 2\pi r**. Substitute r = 7: C = 2 \pi \times 7 = 14\pi feet. 2. Calculate the area Use the formula for area: **A = \pi r^2**. Substitute r = 7: A = \pi \times 7^2 = 49\pi square feet.

Explanation

1. Calculate the circumference<br /> Use the formula for circumference: **$C = 2\pi r$**. Substitute $r = 7$: $C = 2 \pi \times 7 = 14\pi$ feet.<br /><br />2. Calculate the area<br /> Use the formula for area: **$A = \pi r^2$**. Substitute $r = 7$: $A = \pi \times 7^2 = 49\pi$ square feet.
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