Question

Find the area of the shaded region in the above sided figure. Take  = 3.14

Answer 1

Explanation:

The Radius of the larger semi circle =
`(12)/(2)` =
`6`
`cm`

Area of the 2 larger semi Circles =
`(\pi r^(2) )/(2)`
`X2`

=
`(3.14X(6)^(2) )/(2) X 2`

=
`(113.04)/(2) X2`

=
`113.04`
`cm^(2)`

Radius of the smaller semi circle =
`(5)/(2) = 2.5cm`

Area of the smaller semi circle =
`(\pi r^(2) )/(2)`
`X2`

=
`(3,14X(2.5)^(2) )/(2) X 2`

=
`196.25`
`cm^(2)`

Combined Area =
`113.04 + 196.25`

=
`309 . 29cm^(2)`