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Geometry for the Landscape. Adapted from: Chapter 2 Math for Horticulture by Mary Ann Boor. From foukeffa.org Written by Cara Hutchins Kowal GA Ag Ed Curriculum Office To accompany the Georgia Agriculture Education Curriculum Course 01463 Unit 4 July 2001. Objectives.

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## Geometry for the Landscape

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**Geometry for the Landscape**Adapted from: Chapter 2 Math for Horticulture by Mary Ann Boor From foukeffa.org Written by Cara Hutchins Kowal GA Ag Ed Curriculum Office To accompany the Georgia Agriculture Education Curriculum Course 01463 Unit 4 July 2001**Objectives**• By the end of this lesson you will be able to calculate: • the perimeter of a given section of land • the area of given section of land • the volume of container**Terms**• diameter (d)- the line that divides a circle into two equal parts • radius ( r)- one half the diameter • pi () - 3.14 or 22/7 • height- line segment that shows how tall a triangle is. It is always drawn from a corner of the triangle to the opposite side forming a 90 degree angle.**Terms continued**• perimeter(P)- the distance around • the sum of all sides • How much fence do you need to go around a yard? • Circumference (C)- perimeter of a circle • C= diameter X • How much edging do you need to go around a flower bed?**Terms Continued**• volume (V)- how much fits in a given space • Volume of a box= area of bottom X height • Volume of a sphere+ 4/3 X pi X radius X radius X radius • How much soil do you need to fill a flower pot?**More Terms**• area (A)- the space inside the perimeter • rectangle= side X side • triangle= (base X height)/2 • circle= radius X radius X • How many square feet of sod do you need to order to cover the yard?**Example of perimeter**2 4 2 2 3 2 3 2+2+2+2=8 3+3+4=10**Examples of area rectangle**2 5 2 X 5 = 10**Examples of area circle**2 2 X 2 X 3.14= 12.56**Examples of Area of Triangle**A=(8X6)/2 A=48/2 A=24 8.9 8.2 8 6**Volume**Area of bottom=7'X7' Height=9' Volume=7'X7'X9' Volume=441 cubic feet 7' 7' 9'**Notes**• If a shape is not standard, break it down into smaller standard shapes to make calculations • Calculations must be done in the same unit of measurement (change feet to inches or vice versa as needed) • Simplify all answers, do not write feet as decimals, convert to inches.**Units**• Perimeter- feet, inches, cm, m, mm, yards……. • Area- sq. feet, sq. inches, sq. cm, sq. yards…... • Volume- cubic feet, cubic inches, cubic cm, cubic yards…….**Homework problems**1.How many cubic feet of mulch do you need to buy if you are mulching a 3 foot ring three inches deep around 4 trees that are 1 foot each in diameter? 2. How much soil is needed to fill 24 planters that are 1 ft wide, 6 feet long, and 1ft 6 inches deep?**38’**3. Find the perimeter of the yard to the right. 4. How many sq. feet of sod would be needed to cover the yard at the right? 72’**5. If three inches of snow had to be removed from a walk**pictured below, how many cubic ft. of snow would be removed? 46’ 12’ 50’ 8’

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