Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions:​

Rohan draws a circle of radius 10 cm with the help of compass and scale He also draws two chords AB and CD in such a way that AB and CD are 6 cm and 8 cm from t class=

Respuesta :

It can be deduced that the chord of AB will be 16 cm and the chord of CD will be 12 cm.

How to calculate the chord

From the information given, we will use Pythagoras theorem to find half of AB. This will be:

= ✓10² - ✓6²

= ✓64

= 8.

Therefore, AB = 8 × 2 = 16cm

The length of CD will be:

= 10² - ✓8²

= ✓36

= 6

The length of CD = 6 × 2 = 12cm.

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