# geo

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a graphic artist is using a coordinate plane to design a company logo. the log has an equilateral triangle inscribed in a circle.. The lies in quadrant 1, is tangent to the x and y axis and has a radius of 10 units. one side of the triangle is parallel to the y axis and one vertex is (20,10). Write equation of the circle? What are the lengths of the sides of triangle?

• geo -

well, we know that with center at (h,k) the circle's equation is

(x-h)^2 + (y-k)^2 = 100

Since (20,10) is on the circle, at one end of the horizontal diameter, it is clear that the center of the circle is at (10,10).

(x-10)^2 + (y-10)^2 = 100

Getting the triangle's dimensions should now be no trouble.

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