Question

The angle subtended by a section of a circle is

100". If the perimeter of the sector is 150cm
calculate the radius​

Answer 1

Radius of circle = 40 cm (Approx.)

Step-by-step 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.)