Question

The angle at tangent to a circle and the radius drawn at the point of contact is

• A. 60°
• B. 90°
• C. 45°
• D. 30°

Answer 1

The Correct Option is B

To solve the problem, we need to determine the angle formed between a tangent to a circle and the radius drawn at the point of contact. Let us analyze this step by step.

1. Understanding the Tangent-Radius Relationship:
A fundamental property of circles states that the radius of a circle is always perpendicular to the tangent at the point of contact. This means the angle between the tangent and the radius at the point of contact is always \( 90^\circ \).

2. Key Property:
When a tangent touches a circle at a point, the radius drawn to that point is perpendicular to the tangent. Mathematically, this can be expressed as:

$$ \text{Angle between tangent and radius} = 90^\circ $$

3. Conclusion:
The angle formed between the tangent and the radius at the point of contact is always \( 90^\circ \).

Final Answer:
The correct option is \( {90^\circ} \).