The radius of a circle is 21 cm. What will be the area (in cm2) of a sector of the circle that subtends a 22.5º angle at the center? [Use π = ]
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 86.6250.
The area of a sector = (θ/360)πr2
Where θ is the central angle in degrees and r is the radius of the circle.
Radius (r) = 21 cm
Central angle (θ) = 22.5°
Area = (22.5/360) × (22/7) × (21)2 = 86.6250 cm2
Therefore, the area of the sector is 86.625 cm2.