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24 October, 01:46

A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°.

2 sq. in.?

8 sq. in.?

16 sq. in.?

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Answers (1)
  1. 24 October, 02:09
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    The formula of the sector is expressed in the following expression:

    Area = 0.5 * r^2 * theta

    where r is the radius of the circle and theta is the angle in which the sector is measured and is expressed in radians. In this case, upon substitution

    Area = 0.5*8^2 * 45 degrees * (pi/180 degrees) Area = 25.15 square inches
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