Circle Equation Examples

• Circle Equation Corbettmaths
• Circle Equation Standard Form

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Circle Equation Examples

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Find The Equation Of The Circle Shown In The Figure

Example Using the equation of circle formula find the center and radius of the circle whose equation is x 1 2 y 2 2 9 Solution We will use the circle equation to determine the center and radius of the circle Example 1: writing the equation of a circle with center at the origin. What is the equation of the circle with a center at the origin? Write the general equation of a circle. x^2+y^2=r^2 for circles at the origin. 2 State any variables you know. The distance from the center (0,0) to the circle is 4. Radius (r) = 4

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Circle Equation ExamplesThe standard equation for a circle centred at (h,k) with radius r is (x-h)^2 + (y-k)^2 = r^2 So your equation starts as ( x + 1 )^2 + ( y + 7 )^2 = r^2 Next, substitute the values of the given point (2 for x and 11 for y), getting 3^2 + 18^2 = r^2, so r^2 = 333. The final equation is (x+1)^2 + (y+7)^2 = 333 Hope this helps! Example Plot x 4 2 y 2 2 25 The formula for a circle is x a 2 y b 2 r 2 So the center is at 4 2 And r 2 is 25 so the radius is 25 5 So we can plot The Center 4 2 Up 4 2 5 4 7 Down 4 2 5 4 3 Left 4 5 2 1 2 Right 4 5 2 9 2

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