Question

Find the

(i) Radius of the smaller sector.
(ii) Perimeter of the shape.
(iii) The angle ​

Answer 1

1. Radius of the smaller sector = 12 cm
2. Perimeter of the shape = 68 cm
3. Angel = 47.72° (Approx)

Explanation:

Computation:

Length of arc = Θ/360[2πr]

20 = Θ/360(2)(22/7)(24)

Θ = 47.72°

Angel = 47.72° (Approx)

Length of arc = Θ/360[2πR]

10 = [47.72 / 360][2][22/7][R]

R = 12 cm

Radius of the smaller sector = 12 cm

Perimeter of the shape = 20 + 24 + 24

Perimeter of the shape = 68 cm