Question

in a circle with centre o radius of circle is 29cm and length of chord is 24 cm then find the distance of chord town the centre​

Answer 1

Answer:

in a circle with centre o radius of circle is 29cm and length of chord is 24 cm then find the distance of chord town the centre

Step-by-step explanation:

GIven AB=24 cm and OC=5 cm

Since, the perpendicular from the centre of the circle to the chord bisects the chord,

AC=CB=12 cm

Join, OA, in △AOC

AO

2

=AC

2

+OC

2

(PythagorasTheorem)

=12

2

+562

=144+25=169

⇒AO=

169

=13cm

∴Diameter=2×=2×AO=2×13cm=26cm