Question

Draw a circle with centre O and chord LM draw a perpendicular from centre O to chord LM and label it OQ if length of chord LM is 5 cm find LQ?​

Answer 1

Let the centre of the circle be O.

AB = 12 cm

OC = 12 cm

OC ⊥ AB

We know perpendicular drawn from the centre of the circle to the chord, bisects the chord.

So, AC = 6 cm

In ⃤ OCA,

OC2+AC2=AO2⇒82+62=AO2⇒AO2=100⇒AO=10

Thus, AO = 10 cm

Diameter = 2 × 10 cm = 20 cm.

Answer 2

Answer:

refer the attachment file