Question

a circle p is circumscribed about a regular hexagon abcdef
arc ab =
select one:
a. 60
b. 120
c. not enough information
d. 90

a circle p is circumscribed about a regular hexagon abcdef
<a =
select one:
a. 120
b. 60
c. 90
d. not enough information

Explanation:

Step1: Calculate arc AB measure

A full circle is $360^\circ$. A regular hexagon divides the circumscribed circle into 6 equal arcs.
$$\text{Arc } AB = \frac{360^\circ}{6} = 60^\circ$$

Step2: Calculate interior angle ∠A

Use the formula for interior angles of a regular polygon: $\frac{(n-2)\times180^\circ}{n}$, where $n=6$ (number of sides of hexagon).
$$\angle A = \frac{(6-2)\times180^\circ}{6} = \frac{4\times180^\circ}{6} = 120^\circ$$

Answer:

1. a. 60
2. a. 120