Question
Asked Feb 10, 2019
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Use the graph below to determine the equation of the circle in (a) center-radiusa. Type the equation in center-radius form
form and (b) general form
(Simplify your answer.)
10
(0,4)
(8,4)
10
10
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Use the graph below to determine the equation of the circle in (a) center-radiusa. Type the equation in center-radius form form and (b) general form (Simplify your answer.) 10 (0,4) (8,4) 10 10

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Expert Answer

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.

 

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Step 2

The midpoint of any two points (x1,y1) and (x2,y2) 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)

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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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Algebra