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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Using the following equation, find the center and radius: x2 - 2x + y2 - 6y = 26
Solution:
The general equation of a circle is given by:
(x - h)2 + (y - k)2= r2 --- (1)
The circle represented by the above equation is of radius r and centered at coordinates (h, k)
The given equation x2 - 2x + y2 - 6y = 26 can be converted into the equation form given in (1) above.
x2- 2x + y2 - 6y = 26
Adding 1 and 9 on both sides of the equality we get:
(x2 - 2x + 1) + (y2 - 6y + 9) = 26 + 1 + 9
(x - 1)2 + (y - 3)2 = 36
(x - 1)2 + (y - 3)2 = 62 --- (2)
Equation (2) now represents a circle with
Radius r = 6 and centered at coordinates (1, 3)
Using the following equation, find the center and radius: x2 - 2x + y2 - 6y = 26
Summary:
The equation x2 - 2x + y2 - 6y = 26 represents a circle centered at (1, 3) and has a radius ‘r’ = 6.
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