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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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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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The radius (r) of the umbrella when flat = 45 cm

So, the area of the circle (A) = πr2 

= (22/7) × (45)= 6364.29 cm2

Total number of ribs (n) = 8

∴ The area between the two consecutive ribs of the umbrella = A/n

= 6364.29/8 cm2

The area between the two consecutive ribs of the umbrella = 795.5 cm2

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