Applied Geometry Lesson: 10 – 5 Areas of Regular Polygons Objective: Learn to find the areas of regular polygons.

Polygons Center – A point in the interior of every polygon that is equidistant from all the vertices. Apothem – A segment drawn from the center perpendicular to the side of a regular polygon.

Area of a Regular Polygon If a regular polygon has an area of A square units, an apothem of a units, and a perimeter of P units, then

Find the area of the regular polygon.

The game has a hexagon shaped board. Find its area.

Find the area of the shaded region in the regular figure. Area of Pentagon Area of triangle Area of shaded region Pentagon - Triangle

Find the area of the shaded region of the regular figure. Area of Octagon Area of shaded region Octagon – Trapezoid. Area of Trapezoid

Significant digits Precision in a measurement is usually expressed by the number of significant digits reported.

Significant digits Nonzero digits are always significant In whole numbers, zeros are significant if they fall between nonzero digits. In decimal numbers greater than or equal to 1, every digit is significant. In decimal numbers less than 1, the first nonzero digit and every digit to the right are significant.

Determine the number of significant digits. 779,000 mi 50,008 ft m cm significant digits Look at rule for whole numbers. 5 significant digits Look at rule for whole numbers 6 significant digits Look at rule of decimals > 1 3 significant digits Look at rule of decimals < 1 9 significant digits Look at rule of decimals > 1

Homework Pg – 6 all, 8 – 22 E Don’t do #1 & 3