Question

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

Answer 1

use the pythagorean theorem to get x

Answer 2

x^2 = 5^2 + 5^2
solve for x

Answer 3

@aadhiswaran

Answer 4

Imagine it like tetherball with rope length l and the furthest away from the center pole it can get is 5cm:

When the ball is furthest away from the pole, that means it makes a 45 degree angle
If you increase the angle, you'll get close to the pole, and if you decrease the angle, it'll also bring you closer to the pole. Since it's a 45 degree/45 degree/90 degree triangle, you get
Just use the Pythagorean Theorem to solve for l
\[l = \sqrt{5^2+5^2}\ = \sqrt{50}\ = 5\sqrt{2} \ \]