The area of a square is 196 , cm^2. Its side | vedclass

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

Question

(C) Area of the square $= a^2 = 196 \, cm^2$.Therefore,the side $a = \sqrt{196} = 14 \, cm$.Given that the side of the square is half the radius $(r)$

Vedclass · Accepted Answer

$180$

Vedclass · Answer

(C) Area of the square $= a^2 = 196 \, cm^2$.Therefore,the side $a = \sqrt{196} = 14 \, cm$.Given that the side of the square is half the radius $(r)$ of the circle,so $a = r/2$.Therefore,$r = 2 	imes a = 2 	imes 14 = 28 \, cm$.The circumference of the circle $= 2 \pi r = 2 	imes (22/7) 	imes 28 = 176 \, cm$.According to the question,the breadth $(b)$ of the rectangle is equal to the circumference of the circle,so $b = 176 \, cm$.The perimeter of the rectangle is given as $2(l + b) = 712 \, cm$.Substituting the value of $b$: $2(l + 176) = 712$.Dividing by $2$: $l + 176 = 356$.Therefore,$l = 356 - 176 = 180 \, cm$.

The area of a square is $196 \, cm^2$. Its side is half the radius of a circle. The circumference of the circle is equal to the breadth of a rectangle. If the perimeter of the rectangle is $712 \, cm$,what is the length of the rectangle? (in $cm$)

Similar Questions

How many cubes of edge $3\, cm$ can be cut out of a wooden cube of edge $9\, cm$?

The ratio of the $3$ angles of a quadrilateral is $13: 9: 5$. The value of the $4^{th}$ angle of the quadrilateral is $36^{\circ}$. What is the difference between the largest and the second smallest angles of the quadrilateral? (in $^{\circ}$)

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.......$cm^2$.

$A$ circular disc of area $0.49 \pi \, m^2$ rolls down a length of $1.76 \, km$. The number of revolutions it makes is:

The area of the shaded region within the square $ABCD$ is . . . . . . $cm^2$. (Assume the side of the square is $28 \ cm$ and it contains four identical circles).

Vedclass Test Series

Exam Paper Generator

Online Exam Module