# What is the equation of a circle whose center is (4,-7) and a radius of 6?

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The equation of a circle with center ( (h, k) ) and radius ( r ) is given by:

[ (x - h)^2 + (y - k)^2 = r^2 ]

Given that the center of the circle is ( (4, -7) ) and the radius is 6, substitute these values into the equation:

[ (x - 4)^2 + (y - (-7))^2 = 6^2 ]

Simplify this equation to get the equation of the circle.

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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 center that falls on the line #y = 2/9x +8 # and passes through # ( 3 ,5 )# and #(1 ,4 )#. What is the equation of the circle?
- A triangle has corners at #(9 ,3 )#, #(3 ,9 )#, and #(5 ,8 )#. What is the area of the triangle's circumscribed circle?
- A triangle has corners at #(2 ,4 )#, #(3 ,6 )#, and #(4 ,7 )#. What is the area of the triangle's circumscribed circle?
- A circle has a chord that goes from #pi/3 # to #pi/2 # radians on the circle. If the area of the circle is #9 pi #, what is the length of the chord?
- A triangle has sides with lengths of 3, 5, and 2. What is the radius of the triangles inscribed circle?

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