Respuesta :

Answer:

C. 153.86 in^2

[tex]area = \pi {r}^{2} \\ r = 7 \\ a = \frac{22}{7} \times {7}^{2} [/tex]

[tex]a = \frac{22}{7} \times 49 \\ a = 22 \times 7 = 154 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ a \: = 3.14 \times {7}^{2} \\ a \: = 3.14 \times 49 = 153.86 {cm}^{2} [/tex]

Answer:

C. 153.86 in^2

Step-by-step explanation:

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

[tex]a=\pi r^2[/tex]

where r is the radius.

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

[tex]r= 7 in[/tex]

[tex]a=\pi (7 in)^2[/tex]

Evaluate the exponent.

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

[tex]a= \pi * 49 in^2[/tex]

Let's use 3.14 for pi.

[tex]a= 3.14 * 49 in^2[/tex]

Multiply 3.14 and 49

3.14 * 49=153.86

[tex]a= 153.86 in^2[/tex]

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