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Find the

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

Find the (i) Radius of the smaller sector. (ii) Perimeter of the shape. (iii) The-example-1

1 Answer

4 votes

Answer:

  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

User ILoveWagons
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