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
360o
252o
246o
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