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In a circle of radius 10 cm, a sector has an area of 40π sq cm. What is the degree measure of the arc of the sector?
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If the radius of the circle is 10, the area is 100 pi. The sector is 40 pi so the sector is 4/10 of the entire circle. Would you agree?
There are 360 degrees in an entire circle so in 4/10 of a circle there are 4/10 X 360 or 144 degrees.
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