If a tangent and a radius meet at a point on the circle, what is the angle betwe

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Question: If a tangent and a radius meet at a point on the circle, what is the angle between them?

Options:

Correct Answer: 90 degrees

Solution:

The tangent to a circle at any point is perpendicular to the radius at that point, forming a 90-degree angle.

If a tangent and a radius meet at a point on the circle, what is the angle between them?

If a tangent and a radius meet at a point on the circle, what is the angle between them?

Step 1: Understand what a tangent is. A tangent is a straight line that touches the circle at exactly one point.
Step 2: Understand what a radius is. A radius is a line segment that connects the center of the circle to any point on the circle.
Step 3: Identify the point where the tangent touches the circle. This is the point where the radius also ends.
Step 4: Remember the relationship between the tangent and the radius at the point of contact. The tangent line and the radius form an angle.
Step 5: Know that this angle is always 90 degrees. This means the tangent is perpendicular to the radius at the point where they meet.

Tangent and Radius Relationship – The tangent to a circle at a given point is always perpendicular to the radius drawn to that point.