How do you write an equation of a circle with center at origin and r=3?
The standard form is:
where (h,k) is the center and r is the radius.
Your center is at
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The equation of a circle with its center at the origin and a radius ( r ) is given by the formula ( x^2 + y^2 = r^2 ). So, for a circle with a center at the origin and a radius of 3, the equation would be ( x^2 + y^2 = 3^2 ), which simplifies to ( x^2 + y^2 = 9 ).
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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.
- Two circles have the following equations #(x -1 )^2+(y -4 )^2= 36 # and #(x +5 )^2+(y +5 )^2= 81 #. 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 vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/4 #, and the triangle's area is #45 #. What is the area of the triangle's incircle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/4 #, and the triangle's area is #2 #. What is the area of the triangle's incircle?
- A triangle has corners at #(9 ,5 )#, #(2 ,3 )#, and #(7 ,4 )#. What is the area of the triangle's circumscribed circle?
- A circle has a center that falls on the line #y = 2/9x +8 # and passes through # ( 3 ,1 )# and #(5 ,7 )#. What is the equation of the circle?

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