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 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.
When you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
It is reduced by a quarter. If you halve the you also halve the diameter The area (A) of a circle is = pi x (radius)squared. If you halve the radius and then square it then to balance the equation the area must be divided by Four.
When you try to figure out an area of a circle, you square the radius, then multiply it by pi to get the area of a circle. A radius square is radius x radius, or radius squared.
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.
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 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.