Let’s take a rectangle

And add a semicircle on top of side CD & AB

#### What will be the area of total figure?

Area of total figure = Area of rectangle + Area of top semicircle + Area of bottom semicircle.

So, area gets added

Let’s take some values & actually solve it

What will be the area of the figure given below?

Here,

Area of total Figure = Area of rectangle + Area of top semicircle + Area of bottom semicircle

Here, Both semicircle will have the same diameter,

So, their area will be the same

∴ Area of total figure = Area of rectangle + 2 × Area of semicircle

Let’s find them out separately

#### Area of rectangle

Length =
*
l
*
= AB

= 20 cm

Breadth = b = BC

= 5 cm

Area of rectangle ABCD =
*
l
*
× b

= AB × BC

= 20 × 5

= 100 cm
^{
2
}

#### Area of semi-circle

Diameter = 20 cm

Radius = r = Diameter/2

= 20/2

= 10 cm

Now,

Area of semi-circle = (Area of circle)/2

= πr
^{
2
}
/2

= (3.14 (10)
^{
2
}
)/2

= (314 × 100)/(100 × 2)

= 314/2

= 157 cm
^{
2
}

Now,

Area of figure = Area of rectangle ABCD + 2 Area of semi-circle

= 100 + 2 × (157)

= 100 + 314

= 414 cm
^{
2
}

∴ Area of given figure is 514 cm
^{
2
}

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