SOLUTION: The measure of an angle is formed by two tangents to a circle of 90 degrees. If the radius of the circle is 8 centimeters, how far is the vertex of the angle from the center of the
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Question 451444: The measure of an angle is formed by two tangents to a circle of 90 degrees. If the radius of the circle is 8 centimeters, how far is the vertex of the angle from the center of the circle? Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! The intersection point of the two lines, the two points of tangency, and the center of the circle, would form the vertices of a square. The radius being 8 cm means the side of the square is 8 cm. The distance from the vertex of the angle to the center of the circle is then equal to the length of the diagonal of the square, which is cm.