The perimeter of a square is equal to twice t | vedclass

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

Question

(A) Perimeter of a rectangle $= 2 	imes (8 + 7) = 2 	imes 15 = 30\, cm$.Perimeter of a square $= 2 	imes 30 = 60\, cm$.Side of the square $= \frac{

Vedclass · Accepted Answer

$38.57$

Vedclass · Answer

(A) Perimeter of a rectangle $= 2 	imes (8 + 7) = 2 	imes 15 = 30\, cm$.Perimeter of a square $= 2 	imes 30 = 60\, cm$.Side of the square $= \frac{60}{4} = 15\, cm$.Diameter of the semicircle $= 15\, cm$,so radius $r = \frac{15}{2} = 7.5\, cm$.Circumference of a semicircle $= \pi r + d = \pi r + 2r = r(\pi + 2)$.Using $\pi \approx 3.14159$,Circumference $= 7.5 	imes (3.14159 + 2) = 7.5 	imes 5.14159 \approx 38.5619$.Rounding to two decimal places,we get $38.56\, cm$. (Note: Using $\pi = \frac{22}{7}$,$7.5 	imes (3.1428 + 2) = 7.5 	imes 5.1428 = 38.57\, cm$).

The perimeter of a square is equal to twice the perimeter of a rectangle of length $8\, cm$ and breadth $7\, cm$. What is the circumference of a semicircle whose diameter is equal to the side of the square? (rounded off to the two decimal places) (in $cm$)

Similar Questions

The length of a rectangle exceeds its breadth by $3 \, cm$. If the numerical values of the area and the perimeter of the rectangle are equal,then the breadth is ...... $cm$.

If the perimeter of an isosceles right triangle is $(6+3 \sqrt{2}) \text{ m}$,then the area of the triangle is ... $\text{m}^2$.

$A$ bed of roses is shaped as shown in the figure below. In the centre is a square and on each side there is a semi-circle. The side of the square is $21 \, m$. If each rose plant needs $6 \, m^{2}$ of space,then the number of plants in the bed is?

The circumference of two circles is $88 \text{ m}$ and $220 \text{ m}$ respectively. What is the difference between the area of the larger circle and that of the smaller circle (in $m^2$)?

If the area of a square is increased by $44 \%$,while retaining its shape as a square,by what percentage does each of its sides increase?

Vedclass Test Series

Exam Paper Generator

Online Exam Module