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Earn +20 ptsQ: What happens to the area of a circle when the circumference is doubled?
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If the circumference of a circle is doubled how does the area change?
The area increase by four times.
What happens to a circle when the radius is doubled?
The area quadruples.
What is is circumference of a circle is 6.28. What is the area of the circle?
If the circumference of a circle is 6.28 then its area is about 3.138 square units
What happens to the area if the circumference of a circle is doubled?
Denote the original area by A, denote the new area by A', denote the original circumference by C, and denote the new circumference by C'. C=2*pi*r so C'=2C=2*pi*(2r). So doubling the circumference corresponds to doubling the radius. A=pi*r2. A'/A=pi*(2r)2/[pi*r2]=4. So doubling the radius quadruples the area.
What is the area of circle with a circumference of 20?
The area of circle with a circumference of 20 is: 31.83 units squared.
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