If you triple the radius of a circle, the area will increase by 9. Area is proportional to the square of the radius.
The circle becomes an oval
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.
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.
It is increased nine fold. New Area = 9*old area.
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 the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.
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 radius of a circle becomes 1/2 as long, the area becomes 1/4 as much.
The area of the circle becomes 9 times the area of the original circle. Original circle = Pi * (r ^ 2) = Pi * r * r New Circle = Pi * ((3 * r) ^ 2) = Pi * 9 * r * r
If the diameter of a circle 20 cm is tripled the area will increase from 314.2 cm2 to 2,827 cm2
The area increases to nine times the original area.
The area of a circle with a radius of 14.4 is 651.4