A diameter of a circle is cut at right angles by a chord into a 12 cm segment and a 4 cm segment. How long is the chord?
The diameter will bisect the chord in this situation........and we can use the intersecting chords rule ......
4 * 12 = x * x where x is half the chord length......so we have...
48 = x^2 take the square root of each side
4√3 cm = x so....the chord is twice this length = 8√3 cm
The diameter will bisect the chord in this situation........and we can use the intersecting chords rule ......
4 * 12 = x * x where x is half the chord length......so we have...
48 = x^2 take the square root of each side
4√3 cm = x so....the chord is twice this length = 8√3 cm