A SILVER WIRE WHEN BENT IN THE FORM OF A SQUARE ENCLOSES AN AREA OF 121 sq. cm. IF THE SAME WIRE IS BENT IN THE FORM OF A CIRCLE, FIND THE....
SIDE OF THE SQUARE *
RADIUS OF THE CIRCLE *
AREA OF THE CIRCLE *
Answers
Answer:
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Step-by-step explanation:
Answer:
Given, area of the square is 121 sq.cm., when circle is bent in the form of square.
Step-by-step explanation:
Let the side of the Square formed be : S
We know that Area of a square is :Side*Side
=> S*S=121
=> S^2=11^2
=> S = 11 CM.
We know that Perimeter of the Square is given by : 4*Side of Square.
=> Perimeter of the Square
=> 4*11 cm = 44 cm.
=> Length of the Silver Wire used to make square is 44 cm.
Now this same wire is bent in the form of a Circle.
=> Let the radius of the Circle formed be : r.
We know that Circumference of Circle is given by :
=> 2π*r = 44
=> πr = 44/2
=> πr = 22
=> 22(r)/7 = 22
=> r = 7 cm.
We know that Area of Circle is given by : πr^2.
=> Area of the Circle=22/7*7^2=22*7=154 cm^2.