What is the equation of the circle with a center at #(-1 ,-1 )# and a radius of #2 #?
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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
Substituting the given values, the equation of the circle is:
(x + 1)^2 + (y + 1)^2 = 2^2
Which simplifies to:
(x + 1)^2 + (y + 1)^2 = 4
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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.
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.
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- 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?
- What is the equation of a circle whose center is (4,-7) and a radius of 6?
- A triangle has corners at #(5 ,6 )#, #(1 ,3 )#, and #(6 ,5 )#. What is the area of the triangle's circumscribed circle?

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