Among a square of perimeter 44, cm and a circ | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For the square:Perimeter $= 4 	imes 	ext{side} = 44\, cm$.Side $= 44 / 4 = 11\, cm$.Area of square $= (	ext{side})^2 = 11^2 = 121\, cm^2$.For t

Vedclass · Accepted Answer

Circle,$33\, cm^2$

Vedclass · Answer

(C) For the square:Perimeter $= 4 	imes 	ext{side} = 44\, cm$.Side $= 44 / 4 = 11\, cm$.Area of square $= (	ext{side})^2 = 11^2 = 121\, cm^2$.For the circle:Circumference $= 2\pi r = 44\, cm$.$2 	imes (22/7) 	imes r = 44$.$r = (44 	imes 7) / (2 	imes 22) = 7\, cm$.Area of circle $= \pi r^2 = (22/7) 	imes 7^2 = 22 	imes 7 = 154\, cm^2$.Comparing the areas:Area of circle - Area of square $= 154 - 121 = 33\, cm^2$.Thus,the circle has a larger area by $33\, cm^2$.

Among a square of perimeter $44\, cm$ and a circle of circumference $44\, cm,$ which figure has a larger area and by how much?

Similar Questions

$A$ circular wire of length $168 \text{ cm}$ is cut and bent in the form of a rectangle whose sides are in the ratio of $5:7$. What is the length (in $\text{cm}$) of the diagonal of the rectangle?

$A$ piece of wire $132 \, cm$ long is bent successively in the shapes of an equilateral triangle,a square,a regular hexagon,and a circle. Then,which has the largest surface area?

What is the area of the following figure? (in $cm^2$)

The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ $36.72$ per hectare is ₹ $495.72$,then find its base and height.

Three sides of a triangular field are $20\, m$,$21\, m$,and $29\, m$ long,respectively. The area of the field is.......$m^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module