SSC CPO 2022 PYQ — Question 146

SSC CPO - 10 Nov 2022 - Shift 3 • Quantitative Aptitude • Q146

The area of the sector of a circle is 128 cm2. If the length of the arc of that sector is 64cm, then find the radius of the circle.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4 cm

Formula used 

Area of a sector = lr/2

where, l = arc length

r = radius of a circle

Given that

Area of a sector =  128 cm2

Arc length l = 64 cm

Calculation

Area a sector = 64 * r/2 = 128

32* r = 128

r = 128/32 = 4 cm