Processing math: 100%
Home / Aptitude Tests / Mathematics / The lengths of the m...

The lengths of the minor and major arcs 54cm and 126cm re...

The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector

A.

360o

B.

252o

C.

246o

D.

234o

Correct answer is B

Let 0 = angle of the minor sector

angle of the major sector = 360 - θ(angle at a point)

2 πr = 54 + 126(i.e circumference of minor and major arc)

2πr=180o

r = 1802π = 90π

Lenght of ninor arc

= θ360×2πr

54 = θ360×3πr

θ=360×542πr

but r = 90π substituting 90π for r

θ=360×54×π2×π×90

θ=2×54=108o

angle of the major sector = 360 - 108o

= 252o