Question

Two parallel chords are drawn in a circle of diameter 50 cm. The length of one
chord is 40 cm and the other chord is 30 cm. Find the distance between the
chords, if both the chords are:
(1) on the same side of the centre
(ii) on the opposite sides of the centre.​

Answer 1

Answer:

i) 5 cm

ii) 35 cm

Step-by-step explanation:

i) distance between two chords when they are on the same side of the center

= -√(25²-20²) -√(25²-15²)

= -√225 +√400

= - 15 + 20 = 5 cm

ii) when the chords are on the opposite side of the center the distance between them

= 15 + 20 = 35 cm