If a sector in a circle of radius 10 has an area of 5pi, what is the measure of the central angle that forms the sector?

Step-by-step explanation:

The area (A) of the sector is calculated using the formula

A  = area of circle × fraction of circle

let x be the measure of the central angle, then

A = πr² × ← substitute values

5π = π × 10² ×

5π = 100π × (cancel 50π and 2π )

5π = 50x ( divide both sides by 50 )

x = = ← central angle

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step-by-step explanation:

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