# Garden Materials Help: Calculate Circumference, Perimeter, Areas & Costs

• MHB
• lward100
In summary, the conversation is about landscaping a back garden, with plans to place a border around a pond, replace a broken fence and add a decorative trellis, build a patio, and spray the lawn with lawn food. The necessary calculations for determining the needed materials and costs are outlined, with specific instructions for showing workings and giving answers to two decimal places. The total cost for the materials is estimated to be £299. Feedback is given on how to improve the calculations, including showing steps for solving trigonometry equations and converting measurements from centimeters to meters.
lward100
You have decided to landscape your back garden, and have chosen to:

place a border around your pond (A)
replace the broken fence surrounding the garden and add a decorative trellis
build a patio in section B
spray your lawn with lawn food (it's looking a little patchy)
You can find a outline of your garden in Unit 2 - Assessment Resource.

You may find it helpful to print it out to view as you work through this assessment.

Part 1
Before you buy materials, you need to work out how much you will need. As such, you need to calculate the following:

the circumference of the pond
the perimeter of the garden
the patio area
the lawn area
the pond area

Part 2
You have arrived at the store and managed to find everything you need. You now need to work out how much each of the materials will cost:

Fencing is £6 per panel
Trellis panelling is £8 per panel
Fencing and trellis panels are 1.5m in length
Border blocks for water features cost £5.40 per bag. Each bag covers 2m
Patio slabs are £9.50 per box of 10. Each patio slab measures 60cm x 60cm
Lawn food costs £3 per bottle. Each bottle covers 3 square metres
Remember to show your workings, and to provide a total cost at the end.

I submitted this - Circumference of the pond = pi*D = 2.7*pi = 8.48m
Perimeter of the garden = 6.2+7.4+(2.5÷tan(40))+2.5+5.5
Area of patio = 0.5(2.5)(2.5÷tan(40))
Perimeter of Garden = 6.2+7.4+(2.5÷tan(40))+2.5+5.5 = 24.58m
Area of patio = 0.5(2.5)(2.5÷tan(40)) = 3.72m^2
Area of lawn = area of garden - area of patio - area of pond = 0.5(5.5+2.5+7.4)(2.5÷tan(40)) - 0.5(2.5)(2.5÷tan(40)) - pi(2.7÷2)^2 = 13.5m^2
Area of pond = pi(2.7÷2)^2 = 5.73m^2

The circumference of the pond is 8.48m and each border takes 2m so 8.48÷2 = 4.24 = 5 border bags required therefore cost of border on pond = 5*5.40 = £27

The perimeter of the garden is 24.58m and each panel takes 1.5m so 24.58÷1.5 = 16.37 = 17 panels required.
The number of panels for fencing and decorative trellis is same so cost for both fencing and trellis = (17*6)+(17*8) =£238
Are of patio is 4.08 and each slab covers and area of (0.6)^2 so 4.08÷(0.6)^2 = 11.33 = 12 slabs required and so the total cost will be 12*9.5 = £114
Area of patio 4.08m^2 and each slab covers (0.6)^2 of area so 4.08÷(0.6)^2 = 11.33 = 12 slabs required which means 2 boxes required and so cost = 2*9.5 = £19
Area of patio 3.72m^2 and each slab covers (0.6)^2 of area so 3.72÷(0.6)^2 = 11.33 = 10.34 slabs required which means 2 boxes required and so cost = 2*9.5 = £19
Area of lawn = 13.5 and each bottle of lawn food is covering 3m^2 of area so 13.5÷3 = 4.5 = 5 bottles of lawn food required and hence the cost is 5*3 =£15
Total cost £299

Got this feedback-
Part A

Edge of the side of the house
You still have not shown the steps to work out trigonometry, including rearranging the equation and then solving it, once you have this you can just put the measurement length of the side of the house rather than (2.5 divided by tan (40) each time.

Area of lawn
Part 2
Area of patio
You have two results here and both differ from your answer in part 1, you also need to show the conversion from cm to m for the patio slabs. You are told each one is 60cm by 60cm, what is this in m2?View attachment 8552

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## 1. How do I calculate the circumference of a garden?

To calculate the circumference of a garden, measure the distance around the garden's outer edge. Then, use the formula C = 2πr, where C is the circumference and r is the radius of the garden. If you have the diameter of the garden, you can also use the formula C = πd, where d is the diameter.

## 2. What is the difference between perimeter and circumference?

The perimeter of a garden refers to the distance around the outer edge of the garden, while the circumference is specifically the distance around a circle or curved shape. In the context of a garden, the perimeter would be used for irregularly shaped gardens, while the circumference would be used for circular or semi-circular gardens.

## 3. How do I calculate the area of a garden?

To calculate the area of a garden, you will need to measure the length and width of the garden. Then, multiply the length by the width to get the total area. If the garden is irregularly shaped, you may need to break it up into smaller, regular shapes and calculate the area of each shape separately before adding them together.

## 4. How can I estimate the cost of materials for my garden?

To estimate the cost of materials for your garden, you will need to determine the area of the garden and the type of materials you will be using. Then, research the cost of those materials per square foot or meter and multiply that by the total area. Keep in mind that this is just an estimate and actual costs may vary.

## 5. Do I need to consider the depth of the garden when calculating materials?

Yes, the depth of your garden will need to be considered when calculating materials. If you are using materials such as soil, mulch, or gravel, you will need to know the depth of your garden in order to calculate the volume of materials needed. This can be done by multiplying the area of the garden by the desired depth.