The diameter of a circle is 130 cm, and a chord of the circle is 66 cm long. What is the distance between the chord and the center of the cirlce?

Answer 1

Diameter = 130 cm
Radius = 130/(2) = 65 cm
Chord = 66 cm
half chord = 33 cm
The centre forms an isosceles triangle with the chord, with the two equal sides the radii of the circle.
Consider the right triangle which forms half of the isosceles triangle.

distance from centre to the chord = h
where h²+33²=65²
Solve for h. (Hint: h is an integer)