The area of a sector of a circle having a radius of 14 cm is 231 cm2. Find the degree measure of the corresponding central angle.
(Use π = 22/7 )
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 135°.
We know that,
The area of a sector of a circle = θ/360 × πr2
Now,
⇒ 231 = θ/360 × 22/7 × 14 × 14
⇒ θ = (231 × 360 × 7)/(22 × 14 × 14)
⇒ θ = 135
So, the degree measure of the central angle is 135°