Question

the circumference of a circle is 8.164 yards. what is the circles area? round your answer to the nearest hundredth. square yards

Explanation:

Step1: Find the radius from the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(C=8.164\) yards, we can solve for \(r\).

$$r=\frac{C}{2\pi}=\frac{8.164}{2\times3.14}$$

$$r = 1.3$$

Step2: Calculate the area of the circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 1.3\) into the formula.

$$A=3.14\times(1.3)^{2}$$

$$A=3.14\times1.69$$

$$A = 5.3066\approx5.31$$

Answer:

\(5.31\)