In a circle, if a tangent is drawn from a point outside the circle, what is the
Practice Questions
Q1
In a circle, if a tangent is drawn from a point outside the circle, what is the relationship between the tangent and the radius at the point of contact?
They are equal
They are perpendicular
They are parallel
They form an acute angle
Questions & Step-by-Step Solutions
In a circle, if a tangent is drawn from a point outside the circle, what is the relationship between the tangent and the radius at the point of contact?
Step 1: Understand what a tangent is. A tangent is a straight line that touches a circle at exactly one point.
Step 2: Identify the point where the tangent touches the circle. This point is called the point of contact.
Step 3: Know that a radius is a line segment that connects the center of the circle to any point on the circle.
Step 4: Draw a radius from the center of the circle to the point of contact where the tangent touches the circle.
Step 5: Observe the angle formed between the tangent line and the radius at the point of contact.
Step 6: Remember that the relationship between the tangent and the radius at the point of contact is that they meet at a right angle (90 degrees).
Step 7: Conclude that the tangent is perpendicular to the radius at the point of contact.
