Answer:
Radius of circle = 14.38 unit (Approx.)
Explanation:
Given:
Area of the sector AOB = 487 unit²
Angle of sector AOB = 270°
Find:
Radius of circle
Computation:
Area of the sector = [θ/360][πr²]
Area of the sector AOB = [θ/360][πr²]
487 = [270/360][(3.14)r²]
487 = [0.75][(3.14)r²]
487 = [2.355r²]
r² = 487 / 2.355
r² = 206.80
r = 14.38
Radius of circle = 14.38 unit (Approx.)
