SSC CGL 2022 PYQ — Question 61

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q61

Find the area of the sector of a circle with radius 4cm and angle 30°.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 4.186 cm2.

Radius of sector = 4 cm

Central angle = 30°

Area of sector = θ360×πr2{\theta \over 360} \times \pi r^2

According to the given question,

Area of sector = 30360×227×(4)2{30 \over 360} \times {22 \over 7} \times (4)^2

⇒ Area of sector = 43×227{4 \over 3} \times {22 \over 7}

⇒ Area of sector = 4.186

Hence the area of the sector is 4.186 cm2.