Question

In the given figure, if OA =5cm, AB =8 cm and OC LAB, find CD.​

Answer 1

Answer:

2cm

Step-by-step explanation:

AB = 8 cm

as OC perpendicular to AB, we know that when a perpendicular is drawn from the center to a cord it bisects the  chord

So Now we have AC = 4 cm

Using Pythagoras theorem in triangle AOC find the the length of OC

OA² = OC² + AC²

5² = OC² + 4²

5² - 4² = OC²

√25-16 = OC

√9 = OC

3 = 0C

Now OA and OD re the radii of the same circle hence equal

AO = OD

And OD = OC + CD

AO = OD = OC + CD

5 = 3 + CD

5 - 3 = CD

2 = CD