Question

Find the area of the given diagram in the picture

Answer 1

229
`\textbf{m}^{\textbf{2}}`

Explanation:

The Entire shaded diagram can be divided into three regions or parts. Two of these parts are semicircles with radius
`5\text{ }m`, the other is a rectangle of length
`15\text{ }m` and it's breadth is equal to the diameter of the semicircle, which is
`10\text{ }m`.

Total Area =
`2*(\text{Area of semicircle})+(\text{Area of rectangle})`

=
`2((\pi r^(2))/(2))+(l* b)=\pi r^(2)+l* b`

=
`\pi (5)^(2)+15* 10=25\pi+150=228.54\text{ }m^(2)`

∴ Total Area of diagram =
`228.54 \text{ }m^(2)` ≈
`229 \text{ }m^(2)`