Question

In a circle with centre O, CD is the diameter of the circle, AB is a chord of the same circle and M is the mid-point of AB. If AB = 8 cm and OM = 3 cm, find the radius of the circle. Also, find the length of CD. ​

Answer 1

Answer:

Check the step by step explanation and try working out.

Step-by-step explanation:

In here, you have to use the theorem:

In a circle, if AB is a chord, and if M is the midpoint of chord, The midpoint joined to the centre is perpendicular to the chord.

So, we can apply Pythagoras theorem.

$AO^{2} = AM^{2} + OM^{2}$

then, we get the radius. Now finding the diameter is 2 X Radius