Construct two chords of length 9 cm and 7 cm on either side of the centre of a circle of radius 5 cm. Measure the distance between the centre and the chords.
- Draw a circle of radius r=5cm with center O
- Mark the chords of length (AB=7cmandCD=9cm)
- M and N are the midpoints of CD and AB
(OC and OB are radius)
In △ONB
(ON)2=(OB)2−(NB)2ON=√52−(3.5)2ON=3.571cm
In △OMC
(OM)2=(OC)2−(MC)2OM=√52−(4.5)2OM=2.179cm