Q. 51

# A chord of a circle of radius 10 cm subtends a right angle at the centre. The length of the chord (in cm) isA. 5B. 10C. D. [CBSE 2014]

Given A chord of a circle of radius 10 cm subtends a right angle at the centre.

We know that the Pythagoras theorem state that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Now, in right triangle OAB,

AB2 = OA2 + OB2

= 102 + 102

= 100 + 100

= 200

AB = 10√2 cm

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