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Vladimir [108]
1 year ago
13

Write the equation in standard form for the circle with center (0, 9) passing through (0, 27/2)

Mathematics
1 answer:
sammy [17]1 year ago
8 0

Given

coordinates of center= (0,9)

Circle passes through (0, 27/2)

Find

Equation of circle

Explanation

The equation of circle in standard form is

\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-9)^2=r^2 \end{gathered}

We know the circle passes through (0,27/2), then

\begin{gathered} (0-0)^2+(\frac{27}{2}-9)^2=r^2 \\ r=4.5 \end{gathered}

So the equation in the standard form is

(x-0)^2+(y-9)^2=4.5^2

Final Answer

(x-0)^2+(y-9)^2=4.5^2
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