Posted by mary on Wednesday, May 14, 2014 at 9:51pm.
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  Steve, Thursday, May 15, 2014 at 5:54am
well, we know that with center at (h,k) the circle's equation is
(xh)^2 + (yk)^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).
(x10)^2 + (y10)^2 = 100
Getting the triangle's dimensions should now be no trouble.
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