Question

A state park is designed in a circular pattern as shown. Martha rides her bike along the circular path from the ranger station to the pool. How far does she ride to the nearest hundredth of a mile?
A) .79 miles
B) 1.6 miles
C) 2.3 miles
D) 3.7 miles

Answer 1

C. 2.3 miles

Step-by-step explanation:

The details of the image are as follows;

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

The formula to apply is;

Arc length = 2πr angle / 360° where r is radius and π=3.14

Finding arc length from Ranger Station to Nature Center will be;

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Finding distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest hundredth = 2.3 miles

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Arc length : brainly.com/question/11692709

Keywords : circular , pattern, path, hundredth

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