Geometrymedium · Past Paper
If the angle between two tangents drawn from an external point to a circle of radius 'r' is 60 degrees, find the length of each tangent.
Ar
Br * sqrt(3)
Cr / sqrt(3)
D2r
✓ Correct Answer: B — r * sqrt(3)
In the triangle formed by radius, tangent, and line to center, tan(30) = r/L. L = r / tan(30) = r * sqrt(3).
Share this question
More from Geometry
- If an angle is 0 degrees, it is called a:
- What is the sum of angles on a straight line?
- The angle between a tangent and its radius is always constant. What is that constant?
- The midpoint of the segment joining (2a, 0) and (0, 2b) is:
- Two parallel lines are cut by a transversal. If one co-interior angle is (3x + 20) and the other is (2x + 10), find x.