What happens to the area of a circle when the radius is doubled?
What happens to the area of a circle when the radius is doubled?
If the radius is doubled, say, the radius is r1 , then r1= 2r. The area of the second circle will be π(2r)^2., which is 4πr^2.So, the area will be increased by four times to that of the first one.
What happens to the arc length when you double the radius How is this connected to the idea that all circles are similar?
the arc length doubles as well!
What would happen to the central angle for a given arc length of a circle if the circle’s radius were doubled?
The length of the arc intercepted by a fixed central angle doubles.
What is the area of a sector of a circle with a radius of?
The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
When the circumference of a circle is doubled then area will also double?
Therefore, area of circle increases by 3 times when circumference is doubled.
What happens to the area of a circle when the radius is halved?
1 Expert Answer When the radius is halved, your area will be divided by 4. If you think about it, radius is already half of the diameter so your area is already divided by 2, so if you cut the radius is half again, your area will be divided by 4.
What is the relationship between arc length and radius?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
When the radius of a circle doubles does its circumference double?
If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled.
What is the radius of the circle if circumference is doubled?
Answer: So when you double theradius, the area goes up by 4 times because 2 squared is 4. 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.