Answer:
Radius of circle = 40 cm (Approx.)
Explanation:
Given:
Angle subtended by a section = 100°
Perimeter of the sector = 150cm
Find:
Radius of circle
Computation:
Perimeter of the sector = 2[Radius of circle] + Length or arc
150 = 2[r] + [θ/360][2πr]
150 = 2[r] + [100/360][2(3.14)r]
150 = 2[r] + [0.277][2(3.14)r]
150 = 2[r] + 1.74r
150 = 3.74r
r = 40 cm (Approx.)
Radius of circle = 40 cm (Approx.)
