# A circle has a center that falls on the line #y = 7/9x +7 # and passes through # ( 4 ,5 )# and #(8 ,7 )#. What is the equation of the circle?

Equation of circle is

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The equation of the circle is ( (x - \frac{40}{13})^2 + (y - \frac{65}{13})^2 = \frac{260}{13} )

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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 has a chord that goes from #( pi)/3 # to #(19 pi) / 12 # radians on the circle. If the area of the circle is #48 pi #, what is the length of the chord?
- A circle has a center at #(1 ,3 )# and passes through #(2 ,1 )#. What is the length of an arc covering #pi /4 # radians on the circle?
- Sarah has a triangular piece of paper. The base of the paper is 14 and 1/2 inches. The height of the paper is 12 inches. What is the area of the piece of paper?
- A circle's center is at #(7 ,2 )# and it passes through #(5 ,8 )#. What is the length of an arc covering #(7pi ) /4 # radians on the circle?
- A triangle has corners at #(4 ,6 )#, #(5 ,9 )#, and #(7 ,5 )#. What is the area of the triangle's circumscribed circle?

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