Question

the circumference of a circle is 43.96 yards. what is the circles area? round your answer to the nearest hundredth. square yards

Explanation:

Step1: Recall circumference formula

Circumference \( C = 2\pi r \), so \( r = \frac{C}{2\pi} \)

Step2: Calculate radius

\( r = \frac{43.96}{2 \times 3.14} = \frac{43.96}{6.28} = 7 \) yards

Step3: Recall area formula

Area \( A = \pi r^2 \)

Step4: Compute area

\( A = 3.14 \times 7^2 = 3.14 \times 49 = 153.86 \) square yards

Answer:

153.86