A line and a circle. The tangent
Answers are for parents and teachers.
1
A point is 10 from the centre of a circle with R = 6. How long is the tangent segment?
8
2
Two tangents are drawn from an outside point and one segment is 9. What is the sum of both segments?
18
3
AB is a tangent, A is the point of tangency, OA = R = 7 and AB = 24. How long is OB?
25
4
R = 12 and d = 12. How many common points do the line and the circle have?
1
5
How can you tell from d and R whether a line is tangent to a circle? Write it.
If the distance d from the centre to the line equals the radius R (d = R), the line is a tangent.