Find the circumference of a circle whose area is 4 times the area of circle with diameter 21cm.
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Answered by
145
Hey...!!!
Diameter = 21 cm
So, radius = 21/2 cm
= 10.5 cm
So, area of the circle = pi x r square
= 22/7 x 10.5 square
= 22/7 x 110.25
= 346.5 cm square
So,area of second circle is 4 time of 346.5 cm
So, area = 4 x 346.5 cm square
= 1386 cm square
Therefore,
22/7 x r square = 1386
R square = 1386 x 7/22
R square = 441
R = 441 under root
R = 21
So, radius of the first circle = 21 cm
So, Circumference = 2 x pi x Radius
= 2 x 22/7 x 21
= 132 cm
So, Circumference of the circle = 132 cm
Hope it helps...!!!
Diameter = 21 cm
So, radius = 21/2 cm
= 10.5 cm
So, area of the circle = pi x r square
= 22/7 x 10.5 square
= 22/7 x 110.25
= 346.5 cm square
So,area of second circle is 4 time of 346.5 cm
So, area = 4 x 346.5 cm square
= 1386 cm square
Therefore,
22/7 x r square = 1386
R square = 1386 x 7/22
R square = 441
R = 441 under root
R = 21
So, radius of the first circle = 21 cm
So, Circumference = 2 x pi x Radius
= 2 x 22/7 x 21
= 132 cm
So, Circumference of the circle = 132 cm
Hope it helps...!!!
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