A sector of a circle with radius 10 cm has a central angle of 60°. Another sector of the same circle has a central angle of radians. What is the ratio of the area of the first sector to the area of the second sector?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1:1.
First sector (Angle = 60°):
Area = (60/360) × π × 102 = (1/6) × π × 100 = (100π/6)
Second sector (Angle = π/3 radians):
Area = (π/3)/(2π) × π × 102 = (1/6) × π × 100 = (100π/6)
Required ratio = (100π/6) : (100π/6) = 1 : 1