An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius 42 cm, find the area in cm2 between the two consecutive ribs of the umbrella. (Take π=227)
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Solution
Given: Radius (r) = 42 cm
There are 8 ribs and the angle subtended between consecutive ribs = 3608 = 45∘ .
Consider, Area between consecutive ribs as Area of sector
∴ Area between consecutive ribs
= θ∘360∘×π×(r)2
=45360 × 227 × 422 = 693 cm2