# What is the equation of the circle with a center at #(5 ,7 )# and a radius of #6 #?

See a solution process below:

A circle's equation is as follows:

When the values from the problem are substituted, we get:

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The equation of the circle with a center at (5, 7) and a radius of 6 is:

[ (x - 5)^2 + (y - 7)^2 = 6^2 ]

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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 corners at #(2 , 8 )#, #(5 ,7 )#, and #(3 ,1 )#. What is the radius of the triangle's inscribed circle?
- A circle's center is at #(5 ,4 )# and it passes through #(1 ,4 )#. What is the length of an arc covering #(2pi ) /3 # radians on the circle?
- A circle's center is at #(7 ,5 )# and it passes through #(5 ,4 )#. What is the length of an arc covering #(5pi ) /3 # radians on the circle?
- A circle has a center at #(3 ,1 )# and passes through #(2 ,1 )#. What is the length of an arc covering #pi/8# radians on the circle?
- A circle has a center that falls on the line #y = 7/9x +5 # and passes through # ( 7 ,3 )# and #(5 ,1 )#. What is the equation of the circle?

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