91Ó°ÊÓ

What is the general name of the point of concurrence for the three angle bisectors of a triangle?

Perform constructions. Inscribe a regular octagon within a circle.

Perform constructions. Inscribe an equilateral triangle within a circle.

Find the lengths of the apothem and the radius of a square whose sides have length 10 in.

Find the lengths of the apothem and the radius of a regular hexagon whose sides have length \(6 \mathrm{cm}\).

Draw a triangle and, by construction, find its incenter.

Find the lengths of the side and the radius of a regular hexagon whose apothem's length is \(10 \mathrm{m}\).

Draw an obtuse triangle and, by construction, find its circumcenter.

Find the number of sides of a regular polygon that has a central angle measuring a) \(30^{\circ}\) c) \(36^{\circ}\) b) \(72^{\circ}\) d) \(20^{\circ}\)

Find the measure of each exterior angle of a regular polygon whose central angle measures a) \(30^{\circ}\) c) \(45^{\circ}\) b) \(40^{\circ}\) d) \(120^{\circ}\)