Advertisements
Advertisements
Question
A wire is along the boundary of a circle with a radius of 28 cm. If the same wire is bent in the form of a square, find the area of the square formed.
Solution
Radius of circular wire = 28 cm
∴ Circumference = 2πr
= `2xx22/7xx28"cm"` = 176 cm
∴ Perimeter of the square formed by this wire = 176 cm
∴ Side (a) =`176/4` = 44 cm
Area of square so formed = a2 = (44)2 cm2
= 1936 cm2
APPEARS IN
RELATED QUESTIONS
Find the area of the square whose perimeter is 56 cm.
In the figure given below, find the area of shaded region: (All measurements are in cm)
One side of a parallelogram is 18 cm and its area is 153 cm2. Find the distance of the given side from its opposite side.
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
The diameter of a circle is 20 cm. Taking π = 3.14, find the circumference and its area.
The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas
The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometer?
