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the diameter of a circle is 16 yards. what is the circles area? round y…

Question

the diameter of a circle is 16 yards. what is the circles area? round your answer to the nearest hundredth. square yards

Explanation:

Step1: Find radius

Radius $r = \frac{\text{diameter}}{2} = \frac{16}{2} = 8$ yards.

Step2: Calculate area

Area formula: $A = \pi r^2$. Substitute $r=8$: $A = \pi (8)^2 = 64\pi \approx 64 \times 3.1416 = 201.0624$.

Step3: Round to nearest hundredth

$201.0624$ rounded to nearest hundredth is $201.06$.

Answer:

201.06 square yards