A sector is cut out from a circle of diameter 42 cm. If the angle of the sector is 150°, then its area (in cm2) is: (Take π = 22/7)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 577.6
|
Concept |
Understanding |
Application |
Fair calculation |
|
Area of a sector of a circle = θ/360 × πr2 |
Since the angle of the sector is 150° Diameter = 42 cm Radius r = 21 cm |
Area of a sector = 150°/360° × 22/7 × 21 × 21 = 577.6 cm2
|
150°/360° × 22/7 × 21 × 21 = 5/12 × 22/7 × 21 × 21 = 5/4 × 22 × 21 = 5/2 × 11 × 21 = 577.6 |