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

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.
RELATED QUESTIONS
The measure of the angke formed by two tangents to a circle is 80 degrees. Find the... (answered by ikleyn,MathTherapy)

Two of the tangents to a circle meet at Q, which is 25 cm from the center. The circle has (answered by ankor@dixie-net.com)

Solve the problem and show the solutions. The measure of the angle formed by two... (answered by greenestamps,ikleyn)

I have a few questions I need answered. I think I know how to do them, but I'm not sure.... (answered by lynnlo)

∠ABC is formed by two tangents intersecting outside of a circle. If minor arc AC =... (answered by ikleyn)

the angle formed by two tangents drawn to a circle from the same external point measures... (answered by ikleyn)

Two tangents are drawn to the circle C, such that they meet each other at a point outside (answered by josgarithmetic)

If angle between two radii if a circle is 130^ what is the angle between tangents a tend... (answered by Alan3354)

Find the radius, in cm, of the large circle if the radius of the smaller circle is 5... (answered by greenestamps,math_tutor2020,ikleyn,Edwin McCravy)