SSC CHSL 2023 PYQ — Question 63

SSC CHSL - 04 Aug 2023 - Shift 4 • Quantitative Aptitude • Q63

What will be the perimeter (in cm) of the sector of a circle of radius 4.9 cm having central angle 144° (use  π=227\pi = \frac{22}{7})?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 22.12.

Given that

Radius of a circle R = 4.9 cm

Central angle θ\theta = 144º

Formula used

The perimeter of the sector of a circle = 2 R + R θ π/180

where r = radius of the circle, θ = angle of the sector in degree

Calculation

Perimeter = 2 × 4.9 + 4.9 × 144 × π/180

= 22.12 cm