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find the area of the segment of a circle whose diameter is 16 cm and the central angle measures 80 degrees

Sagot :

Find: A = area of segment of a circle

 

Given:

D= 16 cm

Central angle: 80º

 

Formula:

Where: N is the central angle

R = 8 since ½ of the diameter is the radius of the circle

 

A = (N / 360º) π r²

A = (80º / 360º) (3.1416 x (8cm)²)

A = (80º / 360º) (3.1416 x 64 cm²)

A = (80º / 360º) (201.0624 cm²)

A = 0.222 (201.0624 cm²)

A = 44.68 cm²

 

Therefore the answer is A = 44.68 cm²