Question 31
Mensuration of Plane ShapesA trapezium of sides 10 cm and 21 cm and height 8 cm is inscribed in a circle of radius 7cm. Calculate the area of the region not covered by the trapezium. [Take π = 22/7]
- A.84 cm2
- B.80 cm2
- C.30 cm2
- D.94 cm2
Show the answer and explanation
Answer: C (30 cm2)
Explanation
Circle = (22/7) × 49 = 154 cm2. Trapezium = ½(10 + 21) × 8 = 124 cm2. Uncovered = 154 − 124 = 30 cm2.