Question

1. a circular mirror has a diameter of 10 inches. what is the area, in square inches, of the mirror?

a. 5π
b. 10π
c. 25π
d. 100π

1. a circular frame that is 2 inches wide surrounds the mirror. what is the combined area, in square inches, of the circular mirror and the frame?

a. 4π
b. 16π
c. 29π
d. 49π

Explanation:

Step1: Find the radius of the mirror

The diameter of the mirror is 10 inches, so the radius \( r \) of the mirror is \( \frac{10}{2}=5 \) inches.

Step2: Calculate the area of the mirror

The formula for the area of a circle is \( A = \pi r^2 \). Substituting \( r = 5 \) into the formula, we get \( A=\pi\times5^2 = 25\pi \) square inches.

Answer:

C. \( 25\pi \)