Question

Need help ASAP!

A state park is designed in a circular pattern as shown. Mia runs along the circular path from the tennis courts to the petting zoo. How far does she run to the nearest tenth of a mile?
A) 1.0 miles
B) 1.3 miles
C) 2.1 miles
D) 4.2 miles

Answer 1

Answer: 2.1 miles

Step-by-step explanation: The solution is 2.1 miles. Because the radius is 1 mile, we can calculate the circumference of the park.

C = 2(π)(1) or about 6.3 miles. The central angle from the tennis courts to the petting zoo is 120°. This is 1 /3 of the entire circumference or about 2.1 miles.

Answer 2

First, you convert 120 degrees to radians
120x \frac{ \pi }{180} = \frac{2 \pi }{3}
then you mutiply by the radius (1 mile)
and get \frac{2 \pi }{3} miles
this is 2.09439.... blah blah blah
which rouds to 2.1miles or C