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The formula for the area of a circle is, A = πr2
If the area is tripled then the larger circle has an area of A2 = πR2 (where R is the new radius)
But, πR2 = 3πr2 : R2 = 3r2 : R = r√3
The circumference of the original circle was 2πr.
The circumference of the larger circle is 2πR = 2πr√3
Therefore, if the area is tripled, then the circumference increases by √3.
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What happens if a circle's radius is tripled?
If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.
How do you fund the circumference of circle when you know the area?
You dived the area by the circumference of the circle.
What is the formula for finding circumference and area of a circle?
Circumference of a circle is (pi * diameter). Area of a circle is (pi * r2).
What is the relationship between the circumference of a circle and the area of a circle?
Area = (Circumference squared)/4 pi Circumference = 2 sqrt(Area times pi)
What is the area of a circle with circumference 9.42in?
The area of a circle with circumference 9.42in is: about 7.061 square inches.
