Question

what is the area of the shaded portion in the figure​

Answer 1

Answer:

area= area of abcd-area of circle

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

Here,

ABCD is a rectangle.

And we are given,

$\rightarrow {\sf{Length \: = \: 10 \: m}}$

And

$\rightarrow {\sf{Breadth \: = \: 6 \: m}}$

We have formula for area of rectangle.

$\rightarrow{\underline{\boxed{\sf{Area \: of \: Rectangle \: = \: length \: \times \: breadth}}}}$

Put Values

⇒Area of Rectangle = 10 * 6

⇒Area of Rectangle = 60 m²

$\Large{\underline{\boxed{\red{\sf{Area \: of \: Rectangle \: = \: 60 \: m^2}}}}}$

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$\setlength{\unitlength}{1cm}\thicklines\begin{picture}(10,6)\put(5.2,2.2){\line(1,0){0.8}}\put(6,2.2){\circle{2}}\put(1,2){Radius = 7 cm}\end{picture}$

Now come to Circle,

Diameter of circle = Breadth of rectangle

Radius of circle = Breadth of rectangle/2

Put Value

Radius of circle = 6/2

⇒ Radius = 3 m

We know that Formula for Area of circle is :

$\rightarrow {\underline{\boxed{\sf{Area \: of \: Circle \: = \: \pi r^2}}}}$

Put Values

⇒Area of circle = 22/7 * (3)²

⇒Area of circle = 22/7 * 9

⇒Area of Circle = 198/7

⇒Area of circle = 28 m²

$\Large{\underline{\boxed{\red{\sf{Area \: of \: Circle \: = \: 28 \: m^2}}}}}$

$\rule{200}{2}$

Area of Shaded Region = Area of Rectangle - Area of circle

Put Values

⇒Area of Shaded Region = 60 - 28

⇒Area of shaded Region = 32 m²

$\Large{\underline{\boxed{\tt{Shaded \: Region \: Area \: = \: 32 \: m^2}}}}$

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