Question

the mirror has a frame. the diameter of the mirror with the frame is 17 inches. to the nearest hundredth, what is the area of the mirror with the frame? use 3.14 for π. enter the correct answer in the box.

Explanation:

Step1: Identify given diameter

Diameter of framed mirror: $d = 17$ in.

Step2: Calculate radius

Radius is half the diameter:
$r = \frac{d}{2} = \frac{17}{2} = 8.5$ in.

Step3: Apply area formula for circle

Use $A = \pi r^2$, substitute $\pi=3.14$:
$A = 3.14 \times (8.5)^2$

Step4: Compute the final area

First calculate $8.5^2 = 72.25$, then multiply:
$A = 3.14 \times 72.25 = 226.865$
Round to nearest hundredth: $A = 226.87$

Answer:

226.87 square inches