Properties of a chord and a diameter
Answers are for parents and teachers.
1
The radius is 26 and a chord is 48. What is the distance from the centre to the chord?
10
2
In a circle of radius 25, how long is a chord at distance 7 from the centre?
48
3
A diameter is perpendicular to a chord of length 14 and bisects it. How long is each part?
7
4
The radius is 15 and the distance from the centre to the chord is 9. How long is the chord?
24
5
Why is no chord longer than the diameter? Write it in your own words.
In the right triangle OPB the half-chord PB is a leg and the radius OB is the hypotenuse, so PB ≤ OB; doubling gives chord ≤ diameter.