10.2 Notes Area of Regular Polygons Day 1

To be a regular polygon, a polygon must be _____________________& _____________________ Radius of a regular polygon: _____________________________________________________ Apothem of a regular polygon: _____________________________________________________

Directions: All figures below are regular polygons. Draw a radius and apothem for the following figures using two different colors.

Find the exact area of each figure

below.

1) Find the area of a regular hexagon with

a radius of 6 mm.

Area of a Regular Polygon Area of an Equilateral Triangle

Use these steps to find the area of a regular polygon:

1. Find the central angle:

2. Divide the central angle in half.

3. Use the angle to find the or

missing side of the triangle.

4. Find the of the regular polygon.

5. Use the Area Formula of a Regular Polygon:

2) Find the area of a regular hexagon with an 3) Find the area of a regular hexagon with a apothem of 6 cm. side length of 12 in.

4) Find the area of an equilateral triangle 5) Find the area of an equilateral triangle with a side length of 4 cm. with a radius of 6 ft.

Find the area of each figure below. Round to the nearest tenth. 6) Find the area of a regular pentagon 7) Find the area of a regular octagon with side length 8 inches. with side lengths of 5 m.

Partner Practice!!!

Round answers to the nearest tenth.

1) Find the area of a regular pentagon 2) Find the area of a regular hexagon with an

with a side length of 10 inches. apothem of 12 ft.

3) Find the area of an equilateral triangle 4) Find the area of an equilateral triangle

with a side length of 6 cm. with a radius of 4 in.

5) Find the area of regular dodecagon 6) Without looking, list the steps to find the

with an apothem of 7 cm. area of a regular polygon.