Question

Find the area of the segment if the area of the sector is 44 m and the part of a triangle in the sector is 12 m.

(a) 39 m

(b) 22 m

(c) 32 m

(d) 31 m

I got this question in semester exam.

My doubt stems from Area of Sector and Segment of a Circle topic in portion Area Related to Circles of Mathematics – Class 10

Answer 1

Correct choice is (c) 32 m

Easy explanation: The area of the segment = (\(\frac {x^{\circ }}{360^{\circ }}\) × πr^2 ) – \(\frac {bh}{2}\)

= Area of the sector – Area of the triangle

= 44 – 12

= 32 m