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Q: What happen to the area of circle when the radius is tripled?

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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.

If the radius of a circle becomes 1/2 as long, the area becomes 1/4 as much.

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 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

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 = Ï€r2 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') = Ï€ (3r)2 = 9 x Ï€ r2 = 9 x A.

The area of a circle with a radius of 14.4 is 651.4

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