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The radius of a circle is the length between the center and the edge of the circle. The diameter is twice the distance as the radius; a straight line is drawn from one end of the circle to the opposite end (going through the center). The circumference of a circle is its diameter multiplied by pi. The area of a circle is its radius, multiplied by itself, then multiplied by pi.
b) Explain how the length of the radius of a circle can be found given its area?
To find the radius of a circle given its area, divide it by pi, then take the square root.
c) Explain how to determine the center of a circle given three of its points.
Let A, B, and C be the points. To determine the center, draw a line connecting A to B, then B to C. Find the midpoint of each line and draw line perpendicular (90o) to it extending to where the middle of the circle appears to be. Where those two lines intersect is the center of the circle.
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