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In a focused project at Towns County Country Club, Billy has been tasked with renovating a unique green shaped like a 20-gon. Each side measures 10 smoots long, leading Billy to calculate the area to determine grass requirements. With 20 triangles comprising the 20-gon, he first computes the measure of each triangle's angles and utilizes trigonometry to find heights. The area of one triangle is calculated to be 158.5 sm², resulting in a total green area of 3170 sm². Billy successfully purchases the needed grass to complete the renovation.
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The Golf Green By: Joe Timberlake and Carter Brown
This is a green at Towns County Country Club. The manager at the course has asked Billy to renovate it.
The manager has asked for the green to be in the shape of a 20-gon with each side 10 smoots long.
Billy had to find the area of the green to know how much grass he needed.
Billy knows that there is 20 triangles in a 20-gon and he knows that the interior of the green is 360 degrees. So if he divides 360 by 20 he will get the top angle measure for each triangle. 18 degrees
He used Tangent to figure out the height of each triangle. The height was 31.7. So we did ½(b)(h)=Area. The Area of the Triangle is 158.5. Area = 158.5
Next Billy Multiplied the area of the triangle by 20. 20 x 158.5 = 3170
