Question

Radius of the circle is 20cm. there are two chords of lengths.

32cm, what will be the dis-
tance of these chords from
the centre of the circle?​

Answer 1

9514 1404 393

Answer:

12 cm

Explanation:

The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.

The chords are 12 cm from the center.

_____

You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...

c² + d² = r²

16² + d² = 20²

d² = 400 -256 = 144

d = √144 = 12 . . . . . cm