Solve the problem. Use 3.14 for $\pi$. Round your answer to the nearest hundredth.
-The striking circle in field hockey is a semicircle with a radius of 15.7 yd. Find the area of the semicircle.
A) $387.0 \mathrm { yd } ^ { 2 }$
B) $3095.9 \mathrm { yd } ^ { 2 }$
C) $774.0 \mathrm { yd } ^ { 2 }$
D) $98.6 \mathrm { yd } ^ { 2 }$

Question

Solve the problem. Use 3.14 for $\pi$. Round your answer to the nearest hundredth.
-The striking circle in field hockey is a semicircle with a radius of 15.7 yd. Find the area of the semicircle. 
A) $387.0 \mathrm { yd } ^ { 2 }$
B) $3095.9 \mathrm { yd } ^ { 2 }$
C) $774.0 \mathrm { yd } ^ { 2 }$
D) $98.6 \mathrm { yd } ^ { 2 }$

Quizplus · Accepted Answer

The area of a circle is $\pi r^2$, so for a semicircle, it's $\frac{1}{2} \pi r^2$. Using 3.14 for $\pi$ and 15.7 yd for $r$, the area is $\frac{1}{2} \times 3.14 \times (15.7)^2 = 387.0 \mathrm{yd}^2$.

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