Question

Find the area of the following figure, in square cm, correct to one place of decimal.  (Take π = 22/7).

Answer 1

Let the area of square ABCD be A.

It s given that, `AB=10 cm`

So, `A=10xx10 cm^2`

It is given that a semicircle is attached to one side of the square.

The diameter of semicircle=10 cm

So, redium r of semicircle = 5 cm 

We know that the area of semicircle of radius r is 

`A'=1/2 pir^2`

Substituting the value of r, 

`A'=1/2xx22/7xx5xx5`

`=39.3 cm^2`

From the above figure it is seen that a right angle triangle is cutoff from one side of square.

The area of right angle triangle=`1/2bh`

                                                 =`1/2xx8xx6`

        Now, the area A"of above figure is,                                         `=24 cm^2`

A"=Area of square+Area of semicircle-Area of traiangle

=`100+39.3-24`

=`115.3 cm^2`

Hence area of given figure is `115.3 cm^2`