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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 mc001-1. Jpg 6. 67 inches 10. 47 inches 20. 94 inches 62. 8 inches.

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onyebuchinnaji

The approximate length of the arc intersected by the central angle is 20.94 inches.

The given parameters:

  • Radius of the circle, r = 10 inches
  • Central angle, [tex]\theta = \frac{2\pi }{3} \ rad[/tex]

The approximate length of the arc intersected by the central angle is calculated as follows;

S = rθ

where;

  • S is the length of the arc

Substitute the given parameters and solve for the length of the arc

[tex]S = 10 \ in \times \frac{2\pi }{3} \\\\S = 20.94 \ inches[/tex]

Thus, the approximate length of the arc intersected by the central angle is 20.94 inches.

Your question is not complete, find the complete question below:

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of [tex]\frac{2\pi}{3}[/tex].

Learn more about length of arc here: https://brainly.com/question/2005046

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