Geometry B, Assignment 6. Area of Regular Polygons

1. Central angle of a regular polygon 2. Center of a regular polygon 3. Radius of a regular polygon 4. Apothem of a regular polygon

1. An angle whose vertex is the center of the polygon and whose sides contain consecutive vertices of the polygon 2. The common center of its inscribed and circumscribed circles 3. The distance from the center of the polygon to a vertex 4. The perpendicular distance from the center of the polygon to a side

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. in.

108√3

Find the area of a regular hexagon with the given measurement. 2√3 Apothem A =

24√3

Find the area of a regular hexagon with the given measurement. 4-inch side A = sq. in.

24√3

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 3-inch radius A = sq. in.

27/4√3

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.

27√3

The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

2√6

Find the area of a regular octagon with apothem K and side of 10.

40K

Find the area of a regular hexagon with the given measurement. 6-inch radius A = sq. in.

54√3

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

9/4√3

Find the area of a regular hexagon with the given measurement. 48-inch perimeter A = sq. in.

96√3

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch side. A = sq. in.

9√3