A sector of a circle has a central angle of 45. Find the area of the sector if the radius of the circle is 15 cm.

Question

Mathematics

Reed Tapia

21 May, 20:32

A sector of a circle has a central angle of 45. Find the area of the sector if the radius of the circle is 15 cm.

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Answers (1)

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Camron · Answer 1

A = 28.125 * pi cm^2

A = 88.357 cm^2

Step-by-step explanation:

Area of a sector is 1/2 r^2 theta where theta is in radians

convert 45 degrees to radians

theta = 45 * pi/180 = pi/4

A = 1/2 * 15^2 * pi/4

A = 1/2 * 225 * pi/4

A = 28.125 * pi cm^2

A = 88.357 cm^2