What is the equation of the circle with a center at #(2 ,6 )# and a radius of #8 #?
Consequently, the circle's equation is
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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 the center at ((2, 6)) and radius (8), the equation becomes:
[ (x - 2)^2 + (y - 6)^2 = 8^2 ]
So, the equation of the circle is:
[ (x - 2)^2 + (y - 6)^2 = 64 ]
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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.
- A triangle has corners at #(4 ,3 )#, #(1 ,9 )#, and #(6 ,3 )#. What is the radius of the triangle's inscribed circle?
- Two circles have the following equations #(x -2 )^2+(y -4 )^2= 36 # and #(x +8 )^2+(y +3 )^2= 49 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A triangle has corners at #(2 , 6 )#, #(4 ,7 )#, and #(1 ,5 )#. What is the radius of the triangle's inscribed circle?
- A circle has a center that falls on the line #y = 7/9x +7 # and passes through # ( 7 ,3 )# and #(5 ,1 )#. What is the equation of the circle?
- A triangle has corners at #(3 ,8 )#, #(7 ,9 )#, and #(4 ,6 )#. What is the area of the triangle's circumscribed circle?
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