The circumference is doubled or tripled, respectively.
Since circumference is proportional to the diameter (the proportionality is the definition of the irrational number pi) and the radius is just twice the diameter, if you triple the radius, you also triple the circumference.
The circumference is tripled.C=pi*d, so pi*(3d) = 3C, where d is diameter and C is circumference.
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 you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
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.
The circumference of a circle = 2*pi*r. if you triple r, the circumference is tripled also.
If you triple the radius of a circle . . . -- You should not expect anything to happen. Those around are likely to remain completely unaware that you have done anything to your circle. -- You wind up with a circle that's three times as big as it used to be. -- The diameter of the circle is three times the original diameter. -- The circumference of the circle is three times the original circumference. -- The area of the circle is nine times the original area.
Triple the diameter is.
It's pretty straightforward. The circumference of a circle is given by the equation C = 2[Pi]r, which can be rewritten as r = C/2Pi. The area of a circle is given by the equation A = [Pi]r2. Substituting for r in that equation gives us A = Pi(C/2Pi)2 = [Pi]C2/4[Pi]2 = C2/4Pi So, A = C2/4Pi. You can see that the area of a circle is proportional to the square of its circumference, so if you double the circumference, you quadruple the area. If you triple the circumference, the area increases ninefold! If you like, you can remember the formula as A = kC2, where k = 1/4Pi = 0.0796
The perimeter would triple and the area would be multiplied by nine (32). Circumference (perimeter) is (2 x pi x r), so would be (6 x pi x r) for triple the radius, and area is (pi x r2), so would be (pi x 32 x r2) for triple the radius.
Because the perimeter (circumference) is 2*pi*r is proportional to r. The area a = pi * r2 is proportional to r2