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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.
What else can I help you with?
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.
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 would the area of a circumerancebe affected when the diameter of a circle is doubled or triple?
First of all, there's no such thing as the "area of a circumference". The distancearound the circle is called the "circumference", and the area of the circle is calledthe "area of the circle".-- When the diameter of the circle is doubled, the circumference is doubledand the area is multiplied by 4.-- When the diameter of the circle is tripled, the circumference is tripledand the area is multiplied by 9.-- When the diameter of the circle is multiplied by N, the circumference ismultiplied by N and the area is multiplied by N2 .
When the radius of a circleis tripled what happens to the circumference and the area of the circle?
Circumference(C) = 2πr C is directly proportional to r. If radius is tripled then circumference becomes three times of the initial. Since the radius is tripled so the new radius is 3r. New circumference(C') = 2π(3r) = 3 x (2πr) = 3 x C Area = πr2 A is directly proportional to r2. If radius is tripled then area becomes 9{square of 3} times of the initial. New radius is 3r. New Area(A') = π (3r)2 = 9 x π r2 = 9 x A.
If the diameter of a circle 20 cm is tripled what will the area be?
If the diameter of a circle 20 cm is tripled the area will increase from 314.2 cm2 to 2,827 cm2
What happens to the area of a circle if the radius is tripled?
The circle becomes an oval
How do you fund the circumference of circle when you know the area?
You dived the area by the circumference of the circle.
Why would the perimeter triple and the area multiply by nine when the radius of a circle is tripled?
Because the perimeter (circumference) is 2*pi*r is proportional to r. The area a = pi * r2 is proportional to r2
Is the Area of a circle and circumference of a circle have the same thing?
No,Circumference is like the perimiter and Area is the whole circle.
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
Is the circumference and area of a circle the same?
The circumference of a circle is the distance arround the edge of the circle. The area of a circle is how big the inside of the circle is.
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 area of a circle that has a circumference of 16 PI?
The area of a circle that has a circumference of 16pi is: 201.1 units2
