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Q: What happens to the area of a circle if the radius is tripled?

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the area of the circle is increased by 400%

It quadruples.

The radius of a circle when the area is 96 is 5.528

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.

As the area of a circle A equals pi times the radius squared, and doubling the diameter means multiplying the radius by four, the area is multiplied by 16 when you double the diameter.

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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.

It is increased nine fold. New Area = 9*old area.

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.

If you triple the radius of a circle, the area will increase by 9. Area is proportional to the square of the radius.

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

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.

the area of the circle is increased by 400%

Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .

Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same

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.

It quadruples.

The area quadruples.

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