Question

A circle has a radius of 7 inches. What is the area of the circle?

Answer 1

Answer:

C. 153.86 in^2

Step-by-step explanation:

The area of a circle can be found using the following formula.

$a=\pi r^2$

where r is the radius.

We know the radius is 7 inches. Therefore, we can substitute 7 in for r.

$r= 7 in$

$a=\pi (7 in)^2$

Evaluate the exponent.

(7 in)^2= 7 in * 7 in= 49 in^2

$a= \pi * 49 in^2$

Let's use 3.14 for pi.

$a= 3.14 * 49 in^2$

Multiply 3.14 and 49

3.14 * 49=153.86

$a= 153.86 in^2$

The area of the circle is 153.86 square inches. Therefore, C is the correct answer.

Answer 2

Answer:

C. 153.86 in^2

$area = \pi {r}^{2} \\ r = 7 \\ a = \frac{22}{7} \times {7}^{2}$

$a = \frac{22}{7} \times 49 \\ a = 22 \times 7 = 154 {cm}^{2}$

Step-by-step explanation:

$area = \pi {r}^{2} \\ a \: = 3.14 \times {7}^{2} \\ a \: = 3.14 \times 49 = 153.86 {cm}^{2}$