The area increases to nine times the original area.
If you triple the radius of a circle, the area will increase by 9. Area is proportional to the square of the radius.
When you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
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.
As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.
If you triple the radius of a circle . . . -- You should not expect anything to happen. Those around are likely to remain completely unaware that you have done anything to your circle. -- You wind up with a circle that's three times as big as it used to be. -- The diameter of the circle is three times the original diameter. -- The circumference of the circle is three times the original circumference. -- The area of the circle is nine times the original area.
The result is 9 time the original.
If the radius of a circle becomes 1/2 as long, the area becomes 1/4 as much.
Because the area of a circle is pi*radius2. So, if you triple the radius to 3*radius, the area becomes pi*(3*radius)2 = pi*(32*radius2) = pi*9*radius2 that is, 9 times the original area.
The perimeter would triple and the area would be multiplied by nine (32). Circumference (perimeter) is (2 x pi x r), so would be (6 x pi x r) for triple the radius, and area is (pi x r2), so would be (pi x 32 x r2) for triple the radius.
The area of a circle with a radius of 14.4 is 651.4
Area of a circle = pi*radius squared
The area of a circle of radius 21 is 1386