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) is
A. 5

B. 10

C.

D. [CBSE 2014]

Answer :

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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