Thread: Circle

How do you find the measure of each arc of a circle that is circumscribed about a regular pentagon

Originally Posted by winsome

How do you find the measure of each arc of a circle that is circumscribed about a regular pentagon

Hi winsome,

Each arc will have the same measure since the chords making up the regular pentagon are congruent.

There are 360 degrees in a complete circle.

Each arc is one-fifth of this measure.

Each arc would then have to measure _____ degrees.

Now, if you trying to find the arc length, you will need to know the circumference and we'll need to have the radius to do this.