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2.4 Circles

# 2.4 Circles - (x – 4 2(y 2 2 = 36 5 Find the intercepts...

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2.4: Circles A circle is a set of points in the xy-plane that are a fixed distance r from a fixed point (h,k) , where r is the radius and (h,k) is the center . The standard form of the equation of a circle of radius r with center ( h,k ) is (x – h) 2 + (y – k) 2 = r 2 . The general form of the equation of a circle is x 2 + y 2 + ax + by + c = 0. Find the center and radius of each circle; write the standard form of the equation: 1. Write the standard and general forms of the e quations of the following circles and graph: ( 3) r = 4, (h, k) = (2, -3) 4. Graph the equation

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Unformatted text preview: (x – 4) 2 + (y - 2) 2 = 36 5. Find the intercepts, if any, of (x + 7) 2 + (y – 4) 2 = 36 6. Find the equation of the circle in which the points (4, 3) and (0, 1) are endpoints of the diameter . (7 ) Find the center and radius of x 2 + y 2 – 6x + 2y - 39 = 0 ; then graph it. Try These Section 2.4 8. Write in standard form the equation of the circle whose diameter has endpoints of (4, -3) and (2, -1). 9. Find the center and radius of the circle x 2 + y 2- 6x + 12y + 9 = 0. Graph the circle....
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2.4 Circles - (x – 4 2(y 2 2 = 36 5 Find the intercepts...

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