Question

The distance of chord PQ from the center of circle is 5cm length of the chord PQ is 24cm.then find the radius of circle? math2

Answer 1

Answer:

26 cm

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