Question

Find the area of this figure round your answer to the nearest 10th

Answer 1

Given:-

An image.

To find the area of the figure.

The given image can be splited into three images,

A semi circle, A triangle, A rectangle.

So now the area of the circle can be founded by the formula,

`(\pi r^2)/(2)`

Substituting we get,

`(\pir^2)/(2)=(3.14(3))/(2)^2=(3.14(9))/(2)=(28.26)/(2)=14.13`

So the area of the circle is 28.26 sq units.

Now we find the area of the triangle by using the formula,

`(1)/(2)bh`

Substituting the value. we get,

`(1)/(2)bh=(1)/(2)(3)(5)=(15)/(2)=7.5`

So the area of the triangle is 7.5 sq units.

Now we find the area of the rectangle by using the formula,

`lb`

Substituting the value. we get,

`lb=5(6)=30`

So the area of the triangle is 30 sq units,

So now the total area is,

`28.26+7.5+30=58.26+7.5=65.76`

So the total area is 65.76 sq units.