Nine circular designs are made in a square sh | vedclass

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

Question

(A) The radius of each circle is $r = 21\, cm$.Diameter of each circle is $d = 2r = 2 	imes 21 = 42\, cm$.Since there are $3$ circles along each side

Vedclass · Accepted Answer

$3402$

Vedclass · Answer

(A) The radius of each circle is $r = 21\, cm$.Diameter of each circle is $d = 2r = 2 	imes 21 = 42\, cm$.Since there are $3$ circles along each side of the square,the side length of the square is $S = 3 	imes d = 3 	imes 42 = 126\, cm$.Area of the square $ABCD = S^2 = 126^2 = 15876\, cm^2$.Area of one circle = $\pi r^2 = \frac{22}{7} 	imes 21 	imes 21 = 22 	imes 3 	imes 21 = 1386\, cm^2$.Area of $9$ circles = $9 	imes 1386 = 12474\, cm^2$.Area of the region without design = Area of square - Area of $9$ circles.Area = $15876 - 12474 = 3402\, cm^2$.

Nine circular designs are made in a square show-piece as shown in the diagram. If the radius of each circle is $21\, cm$,find the area of the region without design. (in $cm^2$)

Similar Questions

If the radius of a circle is increased by $10 \%,$ then the corresponding area of the new circle will be $\ldots \ldots \ldots . . .$

Find the circumference and the area of a circular ground with radius $77\, m$.

The radius of a wheel of a car is $21 \, cm$. If it makes $800$ rotations per minute,find the speed of the car in $km/h$.

The length of the minute hand of a clock is $12\,cm$. The area of the region swept by it in $5$ minutes is $\ldots \ldots \ldots \,cm^2$. $(\pi=3.14)$

If $\theta$ is the angle (in degrees) of a sector of a circle of radius $r$,then the area of the sector is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module