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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