PPT OF LENGTH OF A CHORD

2. LENGTH OF THE CHORD

3. OC is the perpendicular from O to AB.
A
B
O
d
r
C

4. Let ‘d’ be the length of OC
and ‘r’ be the radius of circle.

5. By Pythagoras theorem
AC2=r2-d2
AC=√ (r2-d2 )

6. OC is the perpendicular from
the centre of the circle to the
chord AB,
We have
AC= ½(AB)
AB=2AC
=2√ (r2-d2 )

7. A circle with centre ‘O ’
and radius ‘r’ and ‘d’ is the
perpendicular distance
from centre to chord. Then
length of a chord=2√(r²-d²)