Question

chord of length 30cm is drawn at the distance of 8cm from the centre of the  circle. Find the radius of the circle.

   

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Answer 1

Answer:

hope it will help you

Step-by-step explanation:

Given-

PR=30 cm is the chord of a circle which is at a distance of 8 cm from its center O.

To find out -

The radius of the circle =?

Solution-

We join OP.

Now PQ=

2

1

PR=

2

1

×30 cm =15 cm

Since the perpendicular from the centre of a circle to a chord bisects the latter.

So, in ΔOPQ, by Pythagoras theorem, we have

OP=

OQ

2

+PQ

2

=

15

2

+8

2

cm =17 cm