the area of the circle is increased by 400%
It quadruples.
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.
3850m is the area of the a circle whose radius of 7meaters
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.
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.
Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .
the area of the circle is increased by 400%
Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same
It quadruples.
The area quadruples.