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Determine the equation of the circle with center (-8,-5) containing the point (0, -10)

User YemSalat
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1 Answer

2 votes

Answer:

Explanation:

The formula for the equation of a circle is

( x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

We have the center as (-8, -5) but we need the radius.

(0, -10) is on the circle - so using the distance formula calculate the distance from the center to (0, -10) which is on the circle.

(d) = √(0 - -8)2 + (-10 - -5)2

= √(8)2 + (-5)2

= √89

so the radius is √89,

Putting the center into the formula gives us

(x --8)² + (y --5)² = √89²

(x + 8)² + (y + 5)² = √89²

User Gnomet
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