Area of Regular Polygons
1. Find the perimeter and the area of the regular polygon. Hint: 1. Find the third side of the triangle using Pythagorean Theorem. 2. Find perimeter P. 3. Find area A using A = ½ asn or A = ½ aP. 2. You are decorating the top of a table by covering it with small ceramic tiles. The table top is a regular octagon with 15 inch sides and a radius of about 19.6 inches. What is the area you are covering? Hint: 1. Find the perimeter P of the table top. 2. Find the apothem a using Pythagorean Theorem. 3. Find the area A of the table top using A = ½ asn or A = ½ aP. 3. A regular nonagon is inscribed in a circle with radius 4 units. Find the perimeter and area of the nonagon. Hint: 1. Find the measure of central JLK. 2. Find the measure of m KLM. 3. Use SOH CAH TOA to find MK and LM. 4. Find perimeter P. 5. Find area A using A = ½ asn or A = ½ aP. 4. Find the perimeter and the area of the regular polygon. No Hint! You got this! Answers: (MUST SHOW WORK FOR CREDIT) 1. P ≈ 46.6 units, 3. Perimeter = 24.6 units 2
A ≈ 151.5 units Area = 46.3 units2 2. 1086.5 in2 4. P ≈ 70 units A ≈ 377.0 units2