Question

An umbrella has $8$ ribs which are equally spaced . Assuming umbrella to be a flat circle of radius $45$ cm, find the area between the two consecutive ribs of the umbrella.

Answer 1

Here, area between two consecutive ribs$=\frac{1}{8}\times$Area of umbrella

Radius$=r=45$cm

Area of umbrella$=\pi r^2$

$=\frac{22}{7}\times 45\times 45c{m}^2$

$=\frac{22}{7}\times 2025c{m}^2$

Required area $=\frac{1}{8}\times$Area of umbrella

$=\frac{1}{8}\times \frac{22}{7}\times 2025c{m}^2$

$=\frac{22275}{28}{cm}^2$

$=795.54c{m}^2$

Hence, area between two consecutive ribs is $795.54c{m}^2$