# A circle has a center that falls on the line #y = 5/8x +6 # and passes through # ( 1 ,5 )# and #(2 ,9 )#. What is the equation of the circle?

As you can see, subtracting (3) from (2)

Consequently, the circle equation is

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The equation of the circle is ( (x - 4)^2 + (y - 3)^2 = 5 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A circle's center is at #(3 ,1 )# and it passes through #(6 ,6 )#. What is the length of an arc covering #(7pi ) /12 # radians on the circle?
- Points #(7 ,6 )# and #(8 ,9 )# are #(5 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?
- A circle has a chord that goes from #pi/12 # to #pi/4 # radians on the circle. If the area of the circle is #32 pi #, what is the length of the chord?
- A triangle has corners at #(9 ,4 )#, #(7 ,1 )#, and #(3 ,9 )#. What is the area of the triangle's circumscribed circle?
- Two circles have the following equations: #(x -1 )^2+(y -2 )^2= 9 # and #(x +4 )^2+(y +2 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?

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