rnieves333 rnieves333

12-03-2021
Mathematics

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A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle

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MettyMHF MettyMHF

12-03-2021

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

Length of arc = 28π units

L = ∅/360 × 2πr

28π = 10/360 × 2πr

28π = 1/36 × 2πr

2πr = 28π × 36

π cancelled off.......

2r = 28 × 36

r = (28 × 36)/2

r = 28 × 18

r = 504units

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