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UI Post-UTME Mathematics 2022 (Model questions) Question 14

Question 14

Mensuration of Plane Shapes

Calculate the perimeter of a sector of a circle of radius 12cm and angle 60°.

  1. A.(24 + 6π)cm
  2. B.(24 + 4π)cm
  3. C.(12 + 4π)cm
  4. D.(12 + 6π)cm
Show the answer and explanation

Answer: B ((24 + 4π)cm)

Explanation

Arc = (60/360) × 2π × 12 = 4π; add the two radii (24 cm): perimeter = (24 + 4π) cm.