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A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please

A State Park Is Designed In A Circular Pattern As Shown In The Diagram Marta Rides Her Bike Along The Circular Path From The Ranger Station To The Pool How Far class=

Sagot :

Lenvy

Answer:

2.3 miles

Step-by-step explanation:

Given by the circular pattern as shown in the diagram:

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

Formula:

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

Solution:

Thus,

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

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 tenth = 2.3 miles

For more information:

https://brainly.com/question/11692709

~lenvy~

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