The distance between two uprights of 13,100 mm. and an assumption of a semicircular arch, gives;
2.3.2) The number of rolls required are 7 rolls
2.3.3) The total cost of the shade cloth is 7•C, where <em>C </em>is the cost per roll of the shade cloth
<h3>Which equation of a semicircle can be used to find the number of rolls? </h3>
The distance between two uprights = 13,100 mm
13,100 mm = 13.1 m
Therefore;
Distance between two uprights = 13.1 m
Taking the arch as a semicircle, we have;
Distance between the uprights = Diameter of the semicircle, <em>D</em>
Which gives;
Diameter of the arch, <em>D</em> = 13.1 m
Length of a semicircle = π•D/2
Which gives;
Length of the arch = π × 13.1/2 ≈ 20.6 m.
2.3.2. Width of one roll of shade cloth, <em>W </em>= 3 m.
Number of rolls required, <em>n</em>,<em> </em>is therefore;
n = 20.6 m. ÷ 3 m/roll ≈ 7 rolls
- Approximately 7 rolls of shade cloth will be required
2.3.3) The total cost, <em>T</em>, of the shade cloth is given by the equation;
T = n × Cost of one roll of the shade cloth, C
Depending on the cost of one roll, the total cost will be; T = 7 × C
Which gives;
- Total cost, <em>T</em> = 7•C
Learn more about writing equations here:
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