Question

the radius of a circle is 7 in. find its area to the nearest whole number.

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

Given that the radius \( r = 7 \) in. Substitute \( r = 7 \) into the formula: \( A=\pi\times(7)^2=\pi\times49 \).

Step3: Calculate the numerical value and round

Using \( \pi\approx3.14159 \), we get \( A\approx3.14159\times49\approx153.938 \). Rounding this to the nearest whole number gives \( 154 \).

Answer:

154