Question

an umbrella has 8 ribs which are equally spaced assuming umbrella to be a flat circle with radius 45cm find the area between the two consecutive ribs of the umbrella

Answer 1

Step-by-step explanation:

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

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= 22275/28 cm2

= 795.535 cm2