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MATHEMATICAL LANDSCAPING. Loreen Jordan MS 110 W1 Professor Shari Lewis . Welcome !. Mathematics as I have come to find out is even in gardening! From the lay out of your planting area Plant placement Sprinkler system layout Wow so much math so little time!. - PowerPoint PPT Presentation

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MATHEMATICAL LANDSCAPING

MATHEMATICAL LANDSCAPINGLoreen JordanMS 110 W1Professor Shari Lewis

Welcome !Mathematics as I have come to find out is even in gardening!From the lay out of your planting areaPlant placementSprinkler system layoutWow so much math so little time!

Your assignment if you choose to accept it.

Design a garden dimensions of this garden are: 106 feet x 43 feet x 33 feet x 108 feet

Place plantings you will have pictures and maturity dimensions' of plants

Placement of sprinkler systemwhere will the heads go and what type will you use.

***You can choose either to do just the planting arrangements or the sprinkler layout (due to time)***Figuring the area of your Garden

This is an easy step you will need to determine the area in square feet to assist in drawing your gardenArea = Length x width Area in square feet = Length x width x 1243'108'106'33'Existing treesExisting treesExisting treesExisting treesExisting treesExisting treesThe dimensions of the area are 43 x 106 x 108 x 33Plants you have to choose from HOSTAS

Eye declare18 diameter x 18 heightfull/part shadeGolden Tea Cup 9 diameter x 11 heightFull/part shade Heavenly Tiara 18 dia. X 14 height Part ShadeHacksaw22 dia. X 11 heightFull/part shadeHadspen Blue22 dia. X 18 heightPart ShadeThe Razors Edge11 dia. x 9 heightFull/part shadePlants you have to choose fromFerns

Japanese Painted Fern12 dia. X 24 heightFull ShadeJapanese Shield 24 dia. X 24 heightFull ShadeLady Fern30 dia. X 30 heightSun/part/full shadeChristmas fern24 dia. X 12 heightpart/full shade*** remember that the size is the diameter of the mature plantNow how to figure out how many plants you will need

You have the diameter of each plant. You will need to figure out how many plants it will take to fill the area while not allowing the plants to touch. And make it look good.You will need to determine the area of your circles and how many you will need. To figure the area of a circle : A = pi R(squared)

Sprinkler layout

Laying out the sprinkler system You will need to lay your lines , determine the type of heads to use and where to place them for best coverage. If you were to do this project for real you would also need to determine the amount of time each head would need to run for, but here we will not be doing that. It involves type of soil, how much sun, slope of grade.Sprinkler layout

Much like determining the amount of plants needed you will need to determine how many sprinkler heads and what type.

You will have four different degrees to work with 45, 90, 180 , and 360.

You will have two types to choose from the first is a spray head which sprays a distance of 5 feet the second is a rotary head which sprays approximately 10 to 20 feet.

You will need to remember that overspray is bad (overspray is when the water from one head overlaps the water from another causing an area to receive twice as much water. )Now for the Math Stuff

When determining the area of a circle you will need to know either the radius or the diameter. Lets say your plant is 24 in diameter what is the total area of this plant? The diameter is twice as much as the radius. 24/2= 12 Your radiusArea = radius squared times pi. So the area of your plant will be 12 squared x 3.141 so the total area of your plant is 452.304 24diameter12 radiusThe area is 452.304More Math to figure outTo lay out a sprinkler system and your head is a 45 degrees you will need to figure the area of the sector. To do this you will need to create a fraction that has: the degrees from the sectors central angle as the numerator, and 360 degrees as the denominator. Take the fractions down to lowest terms. Figure out the radius of the circle. Find the area of the circle. Divide the area by 360, then multiply by the number degrees in the partial circle. (www.wikihom.com)Sector 45 degreesDiameter is 12 cm Area of sector = 45/360(6) squared x pi = 1/8 (36) x pi = 36/8 pi = 36 x 3.1415/8 = 14.136You may use this grid to design your garden. Have fun!Helpful websites to use

www.wikihow.comwww.mathopenref.comwww.worsleyschool.netwww.mathsisfun.com