Answers

2015-10-11T20:34:26+08:00
First you find the number of sides of the polygon using the sum of its interior angles. 180 (n-2) = 1260 180n - 360 = 1260 180n = 1260 + 360 180n= 1620 n= 9 Now that you have the number of sides, determine the measurement of each side. Since it is a regular polygon, they have equal sides. 9s = 45 cm s= 5cm From there, you use the formula: area= s^2 (n) / 4 tan (180/n) wherein s is the measurement of the side and n the number of sides. area= 5^2 (9) / 4 tan (180/9) = 225 / 4 tan 20 = 154.55 cm^2 Therefore, your area is 154.55 cm squared. I hope this helped :)
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