An umbrella has 8 ribs which are equally spaced (see figure). Assuming umbrella to be a flat circle of radius / 45 cm, find the area between the two consecutive ribs of the umbrella
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There are 8 equally spaced ribs in an umbrella, so the umbrella is assumed to be a flat circle.
∴ The angle between 2 consecutive ribs (θ) = 360°/8 = 45°
The radius of the flat circle (r) is given as 45 cm.
The area between 2 consecutive ribs of the umbrella = Area of a sector with an angle of 45° = θ/360° × πr2
= 45°/360° × 22/7 × 45 cm × 45 cm
= 1/8 × 22/7 × 45 cm × 45 cm
= 22275/28 cm2
= 795.535 cm2
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