Question

the radius of a circle is 4 inches. what is the circles area?
round your answer to the nearest hundredth.
square inches

Explanation:

Step1: Write 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.

Step2: Substitute the given radius into the formula

Given \( r = 4 \) inches. Substitute \( r=4 \) into \( A=\pi r^{2} \), we get \( A=\pi\times(4)^{2} \).

Step3: Calculate the value

First, \( (4)^{2}=16 \). Then \( A = 16\pi \). Using \( \pi\approx3.14159 \), \( A\approx16\times3.14159=50.26544 \).

Step4: Round to the nearest hundredth

Rounding \( 50.26544 \) to the nearest hundredth (two decimal places). The third - decimal digit is \( 5 \), so we round up the second - decimal digit. \( 50.26544\approx50.27 \).

Answer:

\( 50.27 \)