What is formed when a tangent intersects a radius at a point outside the circle?

What is formed when a tangent intersects a radius at a point outside the circle?

• A. A right angle
• B. An obtuse angle
• C. An acute angle
• D. A supplementary angle

Answer: (A)

When a tangent intersects a radius at a point outside the circle, it forms a right angle. This is a fundamental property of circles in geometry. The tangent line is defined as a line that touches the circle at exactly one point, and at that point, it is perpendicular to the radius that connects the center of the circle to the point of tangency. Thus, when you draw the radius from the center of the circle to the point where the tangent touches, you create a right angle (90 degrees) between the radius and the tangent line. This situation is consistent with the properties of circles as established in geometry, making the formation of a right angle the only valid description of the scenario presented. Other angle classifications such as obtuse, acute, or supplementary do not apply to this context, as they do not reflect the 90-degree relationship established between the tangent and the radius.

When a tangent intersects a radius at a point outside the circle, it forms a right angle. This is a fundamental property of circles in geometry. The tangent line is defined as a line that touches the circle at exactly one point, and at that point, it is perpendicular to the radius that connects the center of the circle to the point of tangency.

Thus, when you draw the radius from the center of the circle to the point where the tangent touches, you create a right angle (90 degrees) between the radius and the tangent line. This situation is consistent with the properties of circles as established in geometry, making the formation of a right angle the only valid description of the scenario presented.

Other angle classifications such as obtuse, acute, or supplementary do not apply to this context, as they do not reflect the 90-degree relationship established between the tangent and the radius.