What is the equation of this circle in standard form
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What is the equation of this circle in standard form?
Answered by admin @
The standard equation of a circle of radius r with center at (h,k) is:
(x-h)^2 + (y-k)^2 = r^2. The two points (2,4) and (9,4) are on this circle. According to the diagram, the diameter of the circle is 9-2, or 7, which means that the radius is 7/2. Where is the center? Starting at M(2,4), and moving 7/2 units to the right will bring us to the center. So the center is (2+7/2, 4), or
(11/2, 4). Let's put this data to use:
(x - 11/2)^2 + (y - 4)^2 = (7/2)^2 = 49/4. This is the simplest form of the equation of this circle.
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