2018 · Q20
Which one of the following is the area of a sector of a circle of radius 10 cm formed by an arc length of 15 cm?
general-mental-abilityquantitative-aptitude
- A107 cm
- B158 cm
- C75 cm²
- D150 cm²
Explanation
For a sector, arc length l = rθ and area = ½r²θ = ½·r·l. With r = 10 cm and l = 15 cm, the area is ½ × 10 × 15 = 75 cm². Option D (150 cm²) forgets the half, and options A and B carry the wrong unit (cm instead of cm²). Hence the answer is 75 cm².