Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-A sprinkler rotates 360° to water a circular region. If the total area watered is approximately $2,200 \mathrm { yd } ^ { 2 }$ , determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard.
A) 6 yd
B) 350 yd
C) 26 yd
D) 19 yd

Question

Quizplus · Accepted Answer

The area of a circle is given by $A = \pi r^2$, where $A$ is the area and $r$ is the radius. Given $A \approx 2200 \, \mathrm{yd}^2$, we solve for $r$: $2200 = \pi r^2$. Rearranging for $r$, we get $r = \sqrt{\frac{2200}{\pi}}$, which approximately equals 26.5 yards. Rounded to the nearest yard, the radius is 26 yards.

Write the Word or Phrase That Best Completes Each Statement 2,200yd22,200 \mathrm { yd } ^ { 2 }2,200yd2

Write the Word or Phrase That Best Completes Each Statement $2,200 \mathrm { yd } ^ { 2 }$