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A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2π/3

A)6.67 inches

B)10.47 inches

C)20.94 inches

D)62.8 inches

User Fiehra
by
8.3k points

2 Answers

4 votes

Answer: Option C

20.94 inches

Explanation:

I just did it on edge

User Iliaden
by
9.3k points
3 votes

Answer: Option 'C' is correct.

Explanation:

Since we have given that

Radius of circle = 10 inches

Central angle is given by


(2\pi )/(3)

As we know the formula for " Length of an arc " :

Length of arc is given by


l=r\theta\\\\l=10* (2\pi)/(3)\\\\l=10* (2)/(3)* (22)/(7)\\\\l=20.95\ inches

Hence, length of an arc is 20.95 inches.

Hence, Option 'C' is correct.

User Iwasrobbed
by
8.3k points