# What is the equation of a circle with its center at (10, -4) and a radius of 4?

As we are aware,

So.

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

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

Substituting the given values, the equation of the circle is:

[ (x - 10)^2 + (y + 4)^2 = 4^2 ]

Expanding, we get:

[ (x - 10)^2 + (y + 4)^2 = 16 ]

So, the equation of the circle is ( (x - 10)^2 + (y + 4)^2 = 16 ).

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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 #(7 pi) / 12 # radians on the circle. If the area of the circle is #36 pi #, what is the length of the chord?
- A triangle has corners at #(9 ,5 )#, #(2 ,5 )#, and #(3 ,6 )#. What is the area of the triangle's circumscribed circle?
- A circle has a center that falls on the line #y = 3/8x +5 # and passes through # ( 7 ,3 )# and #(2 ,9 )#. What is the equation of the circle?
- What is the equation of the circle with a center at #(5 ,-3 )# and a radius of #2 #?
- A circle has a chord that goes from #( 5 pi)/3 # to #(17 pi) / 12 # radians on the circle. If the area of the circle is #27 pi #, what is the length of the chord?

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