Question

Write an equation for the circle that satisfies each set of conditions.

center (2,-3), radius 5 units

Solution

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Answered 2 years ago
Answered 2 years ago
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Substitute the given center (2,3)(2,-3) and radius 55 units to the standard form of a circle.

(xh)2+(yk)2=r2(x2)2+(y(3)2=52(x2)2+(y+3)2=25\begin{aligned} (x-h)^2+(y-k)^2&=r^2\\ (x-2)^2+(y-(-3)^2&=5^2\\ (x-2)^2+(y+3)^2&=25 \end{aligned}

Therefore the standard form is (x2)2+(y+3)2=25(x-2)^2+(y+3)^2=25

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