A wire of length 44 cm is first bent to form | vedclass

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

Question

(B) $1$. For the circle: The circumference is equal to the length of the wire,so $2 \pi r = 44 \ cm$.$2 	imes (22/7) 	imes r = 44 \implies r = 7 \ c

Vedclass · Accepted Answer

$33$

Vedclass · Answer

(B) $1$. For the circle: The circumference is equal to the length of the wire,so $2 \pi r = 44 \ cm$.$2 	imes (22/7) 	imes r = 44 \implies r = 7 \ cm$.The area of the circle is $A_1 = \pi r^2 = (22/7) 	imes 7^2 = 154 \ cm^2$.$2$. For the square: The perimeter is equal to the length of the wire,so $4a = 44 \ cm$.$a = 11 \ cm$.The area of the square is $A_2 = a^2 = 11^2 = 121 \ cm^2$.$3$. The difference between the two areas is $A_1 - A_2 = 154 - 121 = 33 \ cm^2$.

$A$ wire of length $44 \ cm$ is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is ....... $cm^2$.

Similar Questions

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

The sides of a triangle having area $7776 \ cm^2$ are in the ratio $3:4:5$. The perimeter of the triangle is ........ $cm$.

Four circular cardboard pieces,each of radius $7\, cm$,are placed in such a way that each piece touches two other pieces. The area of the space enclosed by the four pieces is.......$cm^2$.

The volume of a cylinder is $448 \pi \, cm^3$ and its height is $7 \, cm$. What are its lateral surface area and total surface area?

$A$ hemispherical bowl of internal diameter $54 \ cm$ contains a liquid. The liquid is to be filled in cylindrical bottles of radius $3 \ cm$ and height $9 \ cm$. How many bottles are required to empty the bowl?

Vedclass Test Series

Exam Paper Generator

Online Exam Module