jordyncrenshaw3 jordyncrenshaw3

08-01-2024
Mathematics

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A circle has an arc of length 56 that is intercepted by a central angle of 120°. What is the radius of the circle?

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djp6182583 djp6182583

08-01-2024

Answer:

26.74 to the nearest hundredth.

Step-by-step explanation:

L = rC where L = the length of the arc, r = radius and C is the angle subtended at the center measured in radians.

56 = r * 120 * π/180

56 = r * 2π/3

r = 56 * 3 / 2 π

= 26.74 to the nearest hundredth.

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