Question

6 an artist painted a circle on the side of a building that had a radius of 14 inches. what is the area that the artist painted in square inches? round to the nearest hundredth.

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 14 \) inches. Substituting this into the formula, we get \( A = \pi \times (14)^2 \).

Step3: Calculate the value

First, calculate \( 14^2 = 196 \). Then, multiply by \( \pi \): \( A = \pi \times 196 \approx 3.14159 \times 196 \approx 615.7524 \).

Step4: Round to the nearest hundredth

Rounding \( 615.7524 \) to the nearest hundredth gives \( 615.75 \).

Answer:

The area of the circle is approximately \( 615.75 \) square inches.