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23-05-2021
Mathematics

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The radius of a circle is 6 kilometers. What is the length of a 75° arc?

The radius of a circle is 6 kilometers What is the length of a 75 arc class=

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samuelonum1 samuelonum1

28-05-2021

Answer:

7.85km

Step-by-step explanation:

Given data

Radius= 6km

θ= 75°

Arc length = 2πr (θ/360)

substitute

Arc length = 2*3.142*6 (75/360)

Arc length = 2*3.142*6*0.2083

Arc length = 7.85 km

Hence the length of the arc is 7.85km

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