Question

A chord is at a distance of 6 cm from the centre of a circle of radius 10cm. The length of the chord is ----​

Answer 1

Answer:

Now, In right triangle OAC,

By Pythagoras Theorem

OA ² = AC² + CO²

Or, AC² = OA² - CO²

Or, AC² = 10² - 6² = 100 - 36 = 64

Or, AC² = 100 - 36

Or, AC² = 64

Or, AC² = 8²

Or, AC = 8

Or AB = AC + CB

Or AB = 8 + 8 ----------- (AC = CB)

Or AB = 16 cm

Therefore, length of chord = AB = 16 cm