The midpoint of any two points (x_{1},y_{1}) and (x_{2},y_{2}) is shown below

Let us find the midpoint of given diameter ends (0,4) and (8,4) we get midpoint is (4,4). So the center of the circle is (4,4)

Question

Asked Feb 10, 2019

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Step 1

Given a circle with known end points of diamemter (0,4) and (8,4), (4,0) and (4,8). The mid point of diameter is center of the circle.

Step 2

The midpoint of any two points (x_{1},y_{1}) and (x_{2},y_{2}) is shown below

Let us find the midpoint of given diameter ends (0,4) and (8,4) we get midpoint is (4,4). So the center of the circle is (4,4)

Step 3

The distance between end poits (4,0) and (4,8) is 8units.The diameter =8units. So the radius of circle is half the diameter which is 4 units.

The center radius form of an equation of circle with radius (h,k) and radius r is given by

(x-h)2+(y-k)2=r2

substituting (h,k)=(4,4) and r =...

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