10.6. Area and Perimeter of Regular Polygons http://www.ck12.org
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- If the perimeter of a regular decagon is 65, what is the length of each side?
- A regular polygon has a perimeter of 132 and the sides are 11 units long. How many sides does the polygon
have? - The area of a regular pentagon is 440. 44 in^2 and the perimeter is 80 in. Find the length of the pothem of the
pentagon. - The area of a regular octagon is 695. 3 cm^2 and the sides are 12 cm. What is the length of the apothem?
A regular 20-gon and a regular 40-gon are inscribed in a circle with a radius of 15 units.
- Find the perimeter of both figures.
- Find the circumference of the circle.
- Which of the perimeters is closest to the circumference of the circle? Why do you think that is?
- Find the area of both figures.
- Find the area of the circle.
- Which of the areas is closest to the area of the circle? Why do you think that is?
25.ChallengeDerive a formula for the area of a regularhexagon with sides of lengths. Your only variable will
bes. HINT: Use 30-60-90 triangle ratios.
26.Challengein the following steps you will derive an alternate formula for finding the area of a regular polygon
withnsides.