SOLUTION: A circle is tangent to the x-axis and to the y-axis. The coordinates of its center are both positive. The area of the circle is 64pie. What are the coordinates of the point of tang

Question 200841: A circle is tangent to the x-axis and to the y-axis. The coordinates of its center are both positive. The area of the circle is 64pie. What are the coordinates of the point of tangency on the y-axis?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A circle is tangent to the x-axis and to the y-axis. The coordinates of its center are both positive. The area of the circle is 64pie. What are the coordinates of the point of tangency on the y-axis?
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Area of a circle = (pi)r^2
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They gave us the area as 64(pi)
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64(pi) = (pi)r^2
64 = r^2
8 = r (radius)
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Since the coordinates of the center are both positive, we know it is in the 1st quadrant.
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point tangent on the y-axis is then (0,8)
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