High School

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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 \(\frac{2\pi}{3}\).

A) 6.67 inches
B) 10.47 inches
C) 20.94 inches
D) 62.8 inches

Answer :

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Radius of circle = 10 inches

Central angle is given by

[tex]\frac{2\pi }{3}[/tex]

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

Length of arc is given by

[tex]l=r\theta\\\\l=10\times \frac{2\pi}{3}\\\\l=10\times \frac{2}{3}\times \frac{22}{7}\\\\l=20.95\ inches[/tex]

Hence, length of an arc is 20.95 inches.

Hence, Option 'C' is correct.

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Rewritten by : Jeany

Answer: Option C

20.94 inches

Step-by-step explanation:

I just did it on edge