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What happens to the area of a circle of it's radius is increased by10 percent?
Wiki User
∙ 11y ago
The area increases by 21%.
- Let r=the original radius
- and let R=the increased radius
- 10% of r is .1r
- R=r + .1 r
- so R=1.1r
- a=the original area
- and A=the area of the larger circle
- a= pi x r2
- A= pi x R2=pi x (1.1r)2=pi x 1.21r2
- A=1.21 x (pi x r2)=1.21 a
- A=a + .21 a
The area of the new circle increases by 21%
Wiki User
∙ 11y ago
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What happens to the circumference of a circle when the radius is increased by 50 percent?
The circumference is directly proportional to the radius. So increasing the radius by 50% causes the circumference to also increase by 50%.
If a radius of a circle is increased by 10 percent by what percent does its area increase?
area goes as radius squared 1.1 x 1.1 = 1.21 or 21%
What happens to the circumference of a circle when the radius doubles?
If the radius of a circle doubles, the circumference doubles, and so does the diameter.
What happens if you divide the diameter of a circle by two?
It will result to the circle's radius.
What is 11 percent of a circle?
It is a circle whose radius is sqrt(0.11) = 0.331662 of the original circle.
What happens to the area of a circle of its radius is increased by100 percent?
The area is increased by 300%.
What happens to the circumference of a circle when the radius is increased by 50 percent?
The circumference is directly proportional to the radius. So increasing the radius by 50% causes the circumference to also increase by 50%.
If the radius of a circle is doubled what happens to the area of the circle?
the area of the circle is increased by 400%
What happens to the radius of a circle when the diameter is increased by 4?
Radius is half of diameter so it increases by 2.
If a radius of a circle is increased by 10 percent by what percent does its area increase?
area goes as radius squared 1.1 x 1.1 = 1.21 or 21%
When the radius of a circle is tripled what happens to the area?
It is increased nine fold. New Area = 9*old area.
What percentage of diameter of a circle is the radius?
50 percent of diameter of a circle is the radius.
What happens if you triple the radius?
in what? a circle?
What is the radius if the size factor is fifty percent of a circle?
radius is 2
How many degrees in an exterior angle?
if the radius of a circle is increased 100% the area is increased
What happens to the circumference of a circle when the radius doubles?
If the radius of a circle doubles, the circumference doubles, and so does the diameter.
What happens to the area of a circle if the radius is tripled?
The circle becomes an oval
