# A circle has a center that falls on the line #y = 5/8x +6 # and passes through # ( 5 ,2 )# and #(3 ,4 )#. What is the equation of the circle?

The equation is

After that, the circle's equation is

Consequently,

So,

The circle's equation is

graph{[-105.4, 105.5, -52.8, 52.7]} = (x-56/3)^2+(y-53/3)^2-20.8^2)(y-5/8x-6)

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The equation is

After that, the circle's equation is

Consequently,

So,

The circle's equation is

graph{[-105.4, 105.5, -52.8, 52.7]} = (x-56/3)^2+(y-53/3)^2-20.8^2)(y-5/8x-6)

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The equation of the circle is ( (x - 3)^2 + (y - 4)^2 = 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 triangle has vertices A, B, and C. Vertex A has an angle of #pi/8 #, vertex B has an angle of #( 3pi)/8 #, and the triangle's area is #16 #. What is the area of the triangle's incircle?
- A circle's center is at #(8 ,1 )# and it passes through #(2 ,5 )#. What is the length of an arc covering #( pi ) /6 # radians on the circle?
- A circle has a chord that goes from #( 2 pi)/3 # to #(11 pi) / 12 # radians on the circle. If the area of the circle is #12 pi #, what is the length of the chord?
- A circle has a center at #(1 ,2 )# and passes through #(4 ,2 )#. What is the length of an arc covering #pi /4 # radians on the circle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #(7pi)/8 #, and the triangle's area is #8 #. What is the area of the triangle's incircle?

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