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
- Calculate the y-intercept of the line 2x + 5y = 10.
- In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is:
- The area of a triangle with vertices (1, 2), (1, 2), and (3, 4) is:
- What is the slope of the line perpendicular to the line x - 2y + 3 = 0?
- What is the perimeter of a triangle with sides 7 cm, 10 cm, and 12 cm?