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# find the measure of the intercepted arc in terms of pi in a circle with a diameter 60 inches and central angle of 72 degrees.?

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- Mike GLv 71 year agoFavorite Answer
r = 30 inches

θ = 2π/5

arc = rθ = 12π inches

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- az_lenderLv 71 year ago
Circumference is 60 pi inches.

Arc length is (72/360)*(60 pi) = 12 pi inches.

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- DWReadLv 71 year ago
radius r = 30 inches

θ = 72°×2π radians/360° = ⅖π radians

arc length = rθ = 30 in × ⅖π = 12π inches ≅ 37.7 inches

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- PuzzlingLv 71 year ago
Convert 72° to radians by multiplying by π/180°

= 72°* π/180°

= 2π/5

Then to get the arc length, just multiply the angle (in radians) by the radius.

60 * 2π/5

= 24π inches

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