Question

A circle has a circumference whose length is 25(pi). Find the length of an arc whose central angle is 120.

Answer 1

Solution :-

Circumference = 25π

Total angle made by circle = 360

Now,

120 is ⅓ of 360⁰.

⅓ × 25π = 25π/3

Hence,

Length of arc = 25π/3

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Answer 2

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Answer:

(25/3)π

Explanation:

A central angle of 120° is 1/3 of a circle, so the arc length will be 1/3 of the circumference:

(1/3)(25π) = (25/3)π ≈ 26.18 . . . . units