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| Math Central | Quandaries & Queries |
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i am having trouble in finding out the equation for the circle using (x-a)^2 + (y-b)^2 = r^2.The diameter of this circle is d= 44,514 cm. I have attached a drawing of my problem..thanks |
Hi Jennifer,
I added some lines and labels to the diagram you sent> In particular $C$ is the centre of the circle. Also from your diagram $d$ is not the diameter of the circle but the length of the chord where he circle intersects the X-axis.
Triangle $ABC$ is a right triangle so by ythagoras Theorem
\[ r^2 = (r - x)^2 + \left( \frac{d}{2}\right)^2 .\]
From the diagram
\[2r - x = 500.\]
Solve theis equation for $x,$ substitute into the first equation and solve for $r.$
Penny
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