What is the effect on the area of a circle when the radius is doubled?

So the area is quadrupled in this case.

What happens when the radius of a circle changes?

The area will always go up by the square of how much the radius goes up. By contrast, the circumference will only double — from 12.56 to 25.12 because you do not square the radius (or diameter) — you just multiply it by pi. So the circumference will go up by the same percent that the radius does.

How does the equation change when the radius changes?

How does the equation change when the radius changes? Edmentum answer:When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger.

What is the increase in area if radius is increased by 5?

If the radius is increased by 5 percent, the new radius would be r + ( 5 100 × r) or 1.05 r. Now the new area would be π × ( 1.05 r) 2 = π × 1.1025 r 2. So the increase in area is 0.1025 r 2. Hence there is a 10.25\% increase.

How do you change the radius of a circle by 5\%?

The area of a circle is pi*r^2. Increasing the radius by 5\% would mean the new radius value is r+.05*r= 1.05*r. Plug that back into the original equation and you get A= pi* (1.05*r)^2= pi*1.1025*r^2. Next, subtract the original area from our new area to find the change in area.

How do you increase the area of a 100 cm circle?

Consider a circle of 100 cm radius. By increasing the radius to 105 cm, its area = (22/7)*105^2 = 34650 sq cm. The net increase in area = 34650 – 31428.57143 = 3221.428571 sq cm.

How do you find the fractional change in area?

So the fractional change in area is equal to the square of the fractional change in radius. Suppose we increase the radius by a fraction [math]\\epsilon [/math]. If [math]\\epsilon [/math] is small, then [math]\\epsilon^2 [/math] is negligible, so we can drop that term.