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# Area of a sector of a circle?

The area of a sector of a circle with a central angle of 60° is 14 yd2. Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.

Thank you for your help! :)

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- Anonymous5 years agoFavorite Answer
A complete circle has three hundred sixty degrees, so a sixty degree angle sector has area that is one-sixth the area of a full circle.

Area of circle: A = Pi*r^2

Area of sector: S = A/6 = (Pi/6)r^2

solve the last equation for r:

r = sqrt(6S/Pi)

put the value of 14 in for S and do the calculation on your calculator app. answer will be in units of yards.

- Jay BeLv 55 years ago
You simply multiply the area of the circle inversely times the portion of the circle it is.

360/60 = 6

6 * 14 = 84

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