If the radius of a circle is doubled, what effect does this have on the area of the circle? On the circumference? Explain why your result makes...

Area of a circle is directly proportional to the square of
radius of the circle while the circumference is proportional to the radius of the
circle. This means that if the radius of a circle is increased x times, then its area
will be increased to x^2 times the original area, and the circumference will increase to
x times the original circumference.

Thus when the radius is
doubled, or in other words if radius mad 2 time the original radius, the area of circle
will become 2^2 = 4 time the original area. The circumference will become 2 times the
original circumference.

We can calculate exact area and
circumference of a circle from its radius using the following
equations:

Area of circle =
(pi/4)*r^2

Circumference of circle =
2*pi*r

Where r is the radius of the
circle.