Geometry for the Landscape

1
Geometry for the Landscape

• Adapted form
• Chapter 2 Math for Horticulture
• by Mary Ann Boor

2
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

3
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.

4
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?

5
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?

6
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?

7
Example of perimeter
2
4
2
2
3
2
3
22228
33410
8
Examples of area rectangle
2
5
2 X 5 10
9
Examples of area circle
2
2 X 2 X 3.14 12.56
10
Examples of Area of Triangle
A(8X6)/2 A48/2 A24
8.9
8.2
8
6
11
Volume
Area of bottom7'X7' Height9' Volume7'X7'X9' Vol
ume441 cubic feet
7'
7'
9'
12
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.

13
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.

14
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?

15

• 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?

38
72
16

• 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