BlazingSciencist09
BlazingSciencist09 BlazingSciencist09
  • 17-01-2021
  • Mathematics
contestada

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²​

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 17-01-2021

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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