What is the area of a regular decagon having an apothem of 20 m and a side length of 13 m?Question 55Select one:a.3077.7 m2b.2600 m2c.30777 m2d.1300 m2
Question
What is the area of a regular decagon having an apothem of 20 m and a side length of 13 m?Question 55Select one:a.3077.7 m2b.2600 m2c.30777 m2d.1300 m2
Solution
To find the area of a regular decagon, you can use the formula:
Area = 1/2 * Perimeter * Apothem
First, find the perimeter of the decagon. Since a decagon has 10 sides and each side is 13 m, the perimeter is 10 * 13 = 130 m.
Next, multiply the perimeter by the apothem (20 m):
130 m * 20 m = 2600 m^2
Finally, divide this result by 2 to find the area:
2600 m^2 / 2 = 1300 m^2
So, the area of the decagon is 1300 m^2. The correct answer is d. 1300 m^2.
Similar Questions
The radius of a regular decagon is 7.6 m. What is the length of its apothem? (Your answer will be numerical only and rounded to the nearest whole number).Answer:Question 12
Find the area of a Δ with two sides that measure 9 m and 14 m with an included angle of 127°.Question 22Select one:a.100.8 m2b.51.8 cm2c.25.2 m2d.50.31 m2
The apothem of a 30-sided regular polygon is 12.8 meters. What is its area if each side measures 2.7 m? (Your answer will be numerical only and rounded to the nearest whole number).Answer:Question 11
Find the area of the triangle below.Be sure to include the correct unit in your answer.12cm5cm18cm
A regular nonagon has an apothem 10 cm. What is the length of one side?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.