Solve the problem. Use 3.14 for $\pi$. Round your answer to the nearest hundredth.
-The discus is thrown from a circular region 8 feet 3 inches in diameter. What is the area of the circle (in square inches)?
A) $310.9 \text { in. } ^2$
B) $7693.8$ in. $^ { 2 }$
C) $30,775.1 \text { in. }^ 2$
D) $3846.9 \text { in. }^ 2$

Question

Solve the problem. Use 3.14 for $\pi$. Round your answer to the nearest hundredth.
-The discus is thrown from a circular region 8 feet 3 inches in diameter. What is the area of the circle (in square inches)? 
A) $310.9 \text { in. } ^2$
B) $7693.8$ in. $^ { 2 }$
C) $30,775.1 \text { in. }^ 2$
D) $3846.9 \text { in. }^ 2$

Quizplus · Accepted Answer

First, convert the diameter from feet and inches to inches: 8 feet 3 inches = (8 * 12) + 3 = 99 inches. The radius is half the diameter, so 99 inches / 2 = 49.5 inches. The area of a circle is $\pi r^2$, so using 3.14 for $\pi$, the area is $3.14 * (49.5)^2 \approx 7693.8$ square inches.

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