Question

A regular hexagon is inscribed in a circle as shown. Determine the measure of ∠APB.

Answer 1

∠APB = 60

360 / 6 = 60

Answer 2

The measure of ∠APB is 60 degrees.

The measure of angle in a circle is 360 degrees. i.e.

$\theta = 360^o$

The number of sides of a regular hexagon is 6. i.e.

$n = 6$

So, the measure of ∠APB is calculated as:

$\angle APB = \frac{\theta}{n}$

This gives

$\angle APB = \frac{360}{6}$

$\angle APB = 60$

Hence, the measure of ∠APB is 60 degrees.

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