Question

what is the approximate area of a circle with a radius of 15 ft?
a. 94 ft²
b. 47 ft²
c. 707 ft²
d. 177 ft²

Explanation:

Step1: Recall area formula

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius.

Step2: Substitute radius value

Given $r = 15$ ft, we have $A=\pi\times(15)^{2}=\pi\times225$.

Step3: Approximate $\pi$

Taking $\pi\approx 3.14$, then $A\approx3.14\times225 = 706.5\approx707$ ft².

Answer:

C. 707 ft²