Question

Find the value of x.
Answer options: 4, 6, 5, 7

Answer 1

x = 6

Explanation:

The radius in this case measures; 20/2 = 10 since the diameter is 20.

The chord measuring 16 units has been bisected, hence each portion measures 8 units.

We now apply Pythagoras theorem since we are dealing with a right angled triangle with 2 given sides;

x^2 = 10^2 - 8^2

x^2 = 36

x = 6