Question
Tue December 06, 2011 By: Chirag Chiranjib

If a chord of circle with radius 5 cm subtends a right angle at the centre, then length of chord is?

Expert Reply
Wed December 07, 2011
If the chord subtends a right angle, it means that the triangle formed by joining the
ends of the chord to the center is a right angled triangle.
Now for this triangle the two sides are its radius that is 5cm and the third side is the chord.
since the chord is the hypotenuse for this right angled triangle, the length of the chord
becomes
length=(52+52)1/2=5(2)1/2
Ask the Expert