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What happens to the area of a circle if the diameter is doubled?
If you double the diameter of a circle, the area will quadruple (be 4x greater).The area of the circle increases exponentially with the diameter, or more precisely with the radius, which is 1/2 the diameter. A = (pi)r2Doubling the diameter of a circle will quadruple the area (22 =4).This is easily seen in pizzas, where the dough needed for a 16-inch pizza can be used instead to make 4 pizzas with a diameter of 8 inches.---The equation to find the area of a circle is a=(pi)r2. If the diameter is doubled, then the radius is also doubled, because the radius is just half the diameter.The area of a circle once its radius (and therefore diameter) has been doubled can be expressed as follows: a'=(pi)(2r)2, which simplifies to a'=(pi)(4r2).To find the proportion of a' and a, we just divide the second by the first. This gets us[(pi)(4r2)]/[(pi)(r2)]=4
How do the the radius and diameter of a circle compare?
The diameter of a circle is twice its radius
If the radius of a circle is r what is the diameter of the circle?
The radius of a circle is half the diameter so if the radius of a circle is r, then the diameter is 2r.
What is the diameter of a circle or a radius of in?
The diameter of a circle is twice its radius
When the diameter of a circle is 85.4 What is the radius of the circle?
The radius of a circle is always half of the diameter. If the diameter is 85.4, the radius is 42.7.
