A chord distant 2cm from the centre of a circle is 18cm long.calculate the length of a chord of the same circle which is 6cm distant from the centre

1 answer

Did you make your sketch?
For the first chord, after drawing in the radius, I have a right-angled triangle, with sides 2, 9 and r, where r is the radius and the hypotenuse

Use Pythagoras to find r
For the 2nd case, let the chord have length 2x, then we have
x^2 + 6^2 = r^2
but you know r^2 from above, so ......