Advertisements
Advertisements
Question
The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22 cm, find:
(i) perimeter of the square.
(ii) circumference of the circle.
(iii) radius of the circle.
Advertisements
Solution
(i) Side of square = 22 cm
Perimeter of square = 4 × side
= 4 × 22 = 88 cm
(ii) Circumference of circle
Given, Perimeter of square = Circumference of circle
= 88 cm
(iii) Circumference of circle = 88 cm
∴ Radius =`"C"/(2π)=(88xx7)/(2xx22)=616/44` =14 cm
APPEARS IN
RELATED QUESTIONS
In Fig. 4, ABCD is a square of side 14 cm. Semi-circles are drawn with each side of square as diameter. Find the area of the shaded region.
(use `pi=22/7`)
The area of a circle is 49π cm2. Its circumference is ______.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 12 cm , radius = 5 cm
A solid sphere metal is cut through its centre into 2 equal parts. If the diameter of the sphere is 3`1/3` cm , find the total surface of each part, correct to two decimal places.
The diameter of a circular field is 56 m. Find its circumference and cost of fencing it at the rate of ₹80 per m. (Take π =`22/7`)
Find the area of a circle whose circumference is 22 cm.
If the circumference of a circle is 176 cm, find its radius.
Find the area and perimeter of the following semicircles: Diameter = 5.6cm
The area between the circumference of two concentric circles is 2464cm2. If the inner circle has a circumference of 132cm, calculate the radius of the outer circle.
The area of a square is 100 cm2. The circumference (in cm) of the largest circle cut of it is ______.
