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.
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The result is 9 time the original.
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.
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.
The area of a circle with a radius of nine centimeters is: 254.5 cm2
Radius 10, area = 100 pi; radius 9, area = 81 pi
When you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
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 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.
The result is 9 time the original.
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.
Radius squared is half of the diameter multiplied by itself. Example: diameter is 6 inches, radius is 3 inches (half of diameter), radius squared is 9 inches (radius multiplied by itself 3 x 3 = 9).
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. For a 12-inch circle, the radius is half of the diameter, so the radius is 6 inches. Therefore, the area of the 12-inch circle is A = π(6)^2 = 36π square inches. Similarly, for a 9-inch circle, the radius is 4.5 inches, so the area of the 9-inch circle is A = π(4.5)^2 = 20.25π square inches.
First of all, there's no such thing as the "area of a circumference". The distancearound the circle is called the "circumference", and the area of the circle is calledthe "area of the circle".-- When the diameter of the circle is doubled, the circumference is doubledand the area is multiplied by 4.-- When the diameter of the circle is tripled, the circumference is tripledand the area is multiplied by 9.-- When the diameter of the circle is multiplied by N, the circumference ismultiplied by N and the area is multiplied by N2 .
A circle with a radius of 9 feet has an area of 254.47 square feet.
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.
i believe that it is 18 if the radius is 9 edit: wrong, area = pi*radius^2 so it's 3.1415926535*81=254.469
If you triple the length and width (or base and height) of a figure, you will be multiplying the factor of three by itself, so the area increases by 3 squared, or 9. So a figure with an area of 12 will have an area of 108 when you triple its dimensions. This holds true for circles as well, since radius squared is used for area, the 3 squared factor still applies. (: