SOLUTION: Find the area of the sector of a circle with radius 9 meters formed by a central angle of 130°: square meters Round your answer to two decimal places.

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Question 1014568: Find the area of the sector of a circle with radius 9 meters formed by a central angle of 130°:

square meters
Round your answer to two decimal places.
Answer by ikleyn(52835) About Me  (Show Source):
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Find the area of the sector of a circle with radius 9 meters formed by a central angle of 130°:
square meters
Round your answer to two decimal places.
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Convert degrees into radians:

alpha = 130° <-----> alpha = 2%2Api%2A%28130%2F360%29 = 2.268 rad.

Area S = %28r%5E2%2Aalpha%29%2F2 = %289%5E2%2A2.268%29%2F2 = 91.85 m%5E2.

Area of the sector is S = %28r%5E2%2Aalpha%29%2F2,

where r is the radius of the circle and alpha is the central angle measure in radians.

See the lesson Area of a sector in this site.