The length of a rectangle is twice the diamet | vedclass

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

Question

(B) Let the radius of the circle be $r$ and the side of the square be $a = 22\, cm$.Given that the circumference of the circle is equal to the area of

Vedclass · Accepted Answer

$26$

Vedclass · Answer

(B) Let the radius of the circle be $r$ and the side of the square be $a = 22\, cm$.Given that the circumference of the circle is equal to the area of the square:$2\pi r = a^2$$2 	imes \frac{22}{7} 	imes r = (22)^2$$2 	imes \frac{22}{7} 	imes r = 484$$r = \frac{484 	imes 7}{2 	imes 22} = \frac{484 	imes 7}{44} = 11 	imes 7 = 77\, cm$.The diameter of the circle is $d = 2r = 2 	imes 77 = 154\, cm$.The length of the rectangle $(l)$ is twice the diameter of the circle:$l = 2 	imes d = 2 	imes 154 = 308\, cm$.The perimeter of the rectangle is given as $668\, cm$:$2(l + b) = 668$$l + b = 334$$308 + b = 334$$b = 334 - 308 = 26\, cm$.Thus,the breadth of the rectangle is $26\, cm$.

The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side $22\, cm$. What is the breadth of the rectangle if its perimeter is $668\, cm$? (in $cm$)

Similar Questions

The area of the circumcircle of an equilateral triangle is $3 \pi \, cm^2$. The perimeter of the triangle is

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is

$A$ wire bent in the form of a circle of radius $42 \, cm$ is bent in the form of a rectangle whose sides are in the ratio of $6:5$. The smaller side of the rectangle is (in $cm$)

$ABCD$ is a cyclic quadrilateral. $AB$ and $DC$ when produced meet at $P$. If $PA = 8 \ cm$,$PB = 6 \ cm$,and $PC = 4 \ cm$,then the length (in $cm$) of $PD$ is:

The cost of fencing a circular plot at the rate of $Rs. 15$ per $m$ is $Rs. 3300$. What will be the cost of flooring the plot at the rate of $Rs. 100$ per square metre? (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module