0
When the radius of a circleis tripled what happens to the circumference and the area of the circle?
Wiki User
∙ 11y ago
Circumference(C) = 2Ï€r
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') = 2Ï€(3r) = 3 x (2Ï€r) = 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.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What happens to the circumference when the diameter of a circle is doubled or triple?
The circumference is doubled or tripled, respectively.
What happens to the circumference of a circle if its diameter is tripled in size?
9 times bigger
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.
If the radius of a circle is tripled what happens to the circumference?
Circumference = pi x diameter so if the radius is 5 then the diameter is 10 Circumference = pi x 10 = 31.415 If we triple the radius to 15, then the diameter is 30, so Circumference = pi x 30 = 94.245 Which looks like triple the first circumference. So if the radius is tripled, the circumference is also tripled.
If area of a circle is tripled what haappens to the circumference?
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.
If you triple the radius of a circle how is its circumference affected?
The circumference of a circle = 2*pi*r. if you triple r, the circumference is tripled also.
How does the circumference of a circle change when its diameter is tripled?
C1 = pi x D, C2 = pi x 3 x D, so the circumference is also tripled.
What happens to the area of a circle if the radius is tripled?
The circle becomes an oval
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 .
What happens to the diamenter of a circle if you triple the radius?
It will be twice the size of the tripled radius
What happens to the circumference of a circle if you double the radius?
The circumference also doubles.
What happens to the circumference of the circle when the diameter is quadrupled?
The circumference is also quadrupled.
