a round mirror has a circumference of 87.92 inches. calculate the area of the mirror. use 3.14 for pi. round answers to the nearest hundreth if necessary

Respuesta :

Answer:

615.44 in²

Step-by-step explanation:

Use the circumference formula, C = 2[tex]\pi[/tex]r

Plug in the circumference and pi to solve for the radius, r:

C = 2[tex]\pi[/tex]r

87.92 = 2(3.14)r

87.92 = 6.28r

14 = r

Then, use the area formula, A = [tex]\pi[/tex]

A = 3.14(14)²

A = 615.44 in²

So, the area of the mirror is 615.44 in²