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

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 s class=

Respuesta :

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

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.