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.
I know this is a lot, sorry.
Referring to the image attached:
this is an isosceles triangle
It should be noted that a polygon that's inscribed in a circle has each vertex on the outer figure.
<h3>What is a polygon?</h3>
It should be noted that a polygon simply means a plane figure that has a finite number of straight line segments.
In this case, a polygon that's inscribed in a circle has each vertex on the outer figure. Also regular polygons can be inscribed in a circle.
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