A wire is in the form of a square of side 27.5 cm It is straight in and went into the shape of a circle find the area of the circle
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Answered by
51
The wire is in the form of a square of side 27.5 cm.
so,length of wire = perimeter of square perimeter of square = 4 X side
= 4 X 27.5 = 110 cm
Now,
as the question says the wire went into the shape of a circle the perimeter of the square= circumference of the circle
circumference of circle = 2πr
= 2πr = 110
= 2 X 22/7 X r = 110
= 44/7 r = 110
= r = 110 X 7/44
= r = 17.5 cm
so radius = 17.5 cm
now area of circle = πr^2
= 22/7 X (17.5)^2
= 22/7 X 17.5 X. 17.5
= 962.5 cm square
hence area of circle = 962.5 cm square
I HOPE THIS WILL BE HELPFUL.
Answered by
4
Step-by-step explanation:
Length of wire = perimeter of square
perimeter of square = 4×side
= 4×27.5=110
C = 2πr
= 2πr =110
= 2×
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