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POQ is a sector of a circle with angle 73degrees at the center of O. If the sector has an area of 75cmsquare find the radius of a circle.

Respuesta :

  • Answer:

r ≈ 10.85 cm

  • Step-by-step explanation:

Hi there !

use formula (area of a sector of a circle)

A = θ/360° × πr²

θ = 73°

π = 22/7

75cm² = 73°/360° × 22/7 × r²

r² = 75×360×7/73×22

r² = 189000/1606

r² ≈ 118

r ≈ 10.85 cm

Good luck !  

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