Name: Areas Related to a Circle
Uploaded: 2019-07-19
Duration: 18 min 34 s
Description: Have you ever wondered why the area of the circle is πr^2? Let's learn more about the formula related to the area, circumferences, arc, and sector of a circle.

Question

Complete the following table:

Figure	Length	Breadth	Area	Perimeter
Square			$169 c m^{2}$
Rectangle	$80 c m$			$8 m$
Square				$4.84 m$

Accepted Answer

Perimeter is the length of the boundary of a closed plane figure.

The area is the surface or region enclosed inside a closed boundary.

Given,

Figure Length Breadth Area Perimeter

I Square $169 c m^{2}$

II Rectangle $8 m$ $8 m$

III Square $4.84 m$

(I)

Area of a square $= L e n g t h \times b r e a d t h = s i d e \times s i d e$

$\Rightarrow s i d e = \sqrt{a r e a} = \sqrt{169} = 13 c m$

The perimeter of a square $= 4 \times s i d e = 4 \times 13 = 52 c m = 0.52 m$

(II)

The perimeter of a rectangle $= 2 (l e n g t h + b r e a d t h)$

The breadth of the rectangle $\Rightarrow \frac{P e r i m e t e r}{2} - l e n g t h \Rightarrow \frac{800}{2} - 80$

$\Rightarrow 400 - 80 = 320 c m$

The area of a rectangle $= L e n g t h \times B r e a d t h = 80 \times 320 = 25600 c m^{2}$

(III)

The side of a square $= \frac{p e r i m e t e r}{4} = \frac{484}{4} = 121 c m$

Area of a square $= 121 \times 121 = 14641 c m^{2}$

Hence, the required answer is,

Figure Length Breadth Area Perimeter

I Square $13 c m$ $13 c m$ $169 c m^{2}$ $0.52 m$

II Rectangle $80 c m$ $320 c m$ $25600 c m^{2}$ $8 m$

III Square $121 c m$ $121 c m$ $14641 c m^{2}$ $4.84 m$

Complete the following table:

Figure Length Breadth Area Perimeter

Square $169 c m^{2}$

Rectangle $80 c m$ $8 m$

Square $4.84 m$

Important Questions on Perimeter and Area

Learn and Prepare for any exam you want !

Complete the following table: Figure Length Breadth Area Perimeter Square 169 cm2 Rectangle 80 cm 8 m Square 4.84 m

Important Questions on Perimeter and Area

Learn and Prepare for any exam you want !

Complete the following table:

Figure Length Breadth Area Perimeter

Square $169 c m^{2}$

Rectangle $80 c m$ $8 m$

Square $4.84 m$