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.
The area of a circle is given by the formula A = πr^2, where r is the radius. If you triple the radius (r), the new radius becomes 3r. Substituting this into the formula, you get A = π(3r)^2 = 9πr^2. The area is multiplied by 9 because the radius is squared in the formula.
If the radius of a circle becomes 1/2 as long, the area becomes 1/4 as much.
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 if the radius is 9m 254.5m2
The radius of a circle with the area of 36 is 3.385
The area of a circle of radius 21 is 1386