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JAMB Mathematics 2005 Question 29

Question 29

Mensuration of Plane Shapes

A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector. [π = 22/7]

  1. A.45°
  2. B.63°
  3. C.75°
  4. D.90°
Show the answer and explanation

Answer: B (63°)

Explanation

θ/360 × 22/7 × 100 = 55, so θ = 55 × 360 × 7/2200 = 63°.