# A circle has a center that falls on the line #y = 3x +4 # and passes through #(4 ,4 )# and #(9 ,2 )#. What is the equation of the circle?

Because the center of the perpendicular bisector is equally spaced from the two given points, its equation is as follows:

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The equation of the circle is ( (x - 6)^2 + (y - 10)^2 = 25 ).

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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/4 # to #(5 pi) / 8 # radians on the circle. If the area of the circle is #120 pi #, what is the length of the chord?
- A triangle has vertices #(6 ,3 )#, #(5 ,8 )#, and #(3 ,2 )#. What is the area of the triangle's circumscribed circle?
- What is the equation of the circle with a center at #(-8 ,3 )# and a radius of #4 #?
- Either of two unit spheres passes through the center of the other. Without using integration, how do you prove that the the common volume is nearly 1.633 cubic units?
- What is the degree measure of the supplement of 10°?

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