I like musical dramas. don't you?

They really strike a chord.

Did you know music and maths are closely related?

Chords appear in maths too. The are used in circle theorems.

Lets see how

Example 1

The rule is where the radius bisects the chord it is at right angles 90°

To find angle x we can see now that this is a straight forward angles in a triangle add up to 180°

180 - 90 - 48 = 42°

Example 2

As the chord cuts the radius at 90° we can see that a right angled triangle is formed.

We can apply Pythagoras' Theorem to find side lengths.

8 cm² - 6 cm² = 28 cm²

√ 28 = 5.29 cm

A shorter side of the triangle is being found hence the subtraction in Pythagoras' Theorem.

Over to you..