Question

The diagram shows the aerial view of a park. What is the length of the park's boundary to the nearest yard? Use the value π = 3.14.

215 yards

266 yards

285 yards

309 yardshttp://cdn.ple.platoweb.com/PCAP-ASSETS-PROD/6ba968e838ff470d8f9f18b417492d85

Answer 1

assuming that the limits are the perimeter of this park:

and for the left and right
\[L=\theta*R\]
theta is in rad
\[\frac{ 120 \pi }{ 180 } = \frac{ 2 \pi }{ 3 }\]
\[L= \frac{ 2 \pi }{ 3 }*50=104.7\]
calculating the perimeter:
\[2*50+2*104.7=309.4\]
I think that the answer is 309