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.
Advertisements
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.
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m2 find the area of the lawn.
In the figure given below, find the area of shaded region: (All measurements are in cm)
One side of a parallelogram is 20 cm and its distance from the opposite side is 16 cm. Find the area of the parallelogram.
Find the area of the rhombus, if its diagonals are 30 cm and 24 cm.
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
Find the area of a triangle whose base is 30 cm and the height is 18 cm.
Find the area of a right-angled triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long.
Find the base of a triangle whose area is 360 cm2 and height is 24 cm.
A metal wire, when bent in the form of a square of largest area, encloses an area of 484 cm2. Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.
