Question

the diameter of a circle is 5.2 yards. what is the circles area? round your answer to the nearest hundredth. square yards submit

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 5.2 \) yards, so \( r=\frac{d}{2}=\frac{5.2}{2} = 2.6 \) yards.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 2.6 \) into the formula: \( A=\pi\times(2.6)^{2}=\pi\times6.76\approx3.14159\times6.76\approx21.2371644 \).

Step3: Round to nearest hundredth

Rounding \( 21.2371644 \) to the nearest hundredth gives \( 21.24 \).

Answer:

\( 21.24 \)