70 m A farmer has a field in the shape of a semicircle.
A sketch of the field is shown.
The farmer asks a builder to raise a fence around
the edge of the field. He gets the following quotation.
Total cost = £32.65 per metre of fence + £150 for each day's work
The builder estimates that it will take five days to build the fence.
Work out the total cost.
70 x £32.65 = £2,285.5
£150 x 5 =£ 750
£2,285.5 + £750 = 3035.50

Total Cost = £ 6623.74

Step-by-step explanation:

We can see that the field is in the same of a semicircle, which has a base of 70 meter.

We need to calculate the perimeter of semicircle.

Consider it as a circle which has a diameter of 70m.

Radius = 70/2 = 35 meter

Perimeter of circle is given by = 2πr

Perimeter of circle is given by  = 2π(35)

Perimeter of circle = 219.8 meters

Perimeter of the semicircle = 219.8/2

Perimeter of the semicircle = 109.9 meters

This is just the perimeter around the globe of semicircle. The base of semicircle is not included in this.

Total Perimeter = 109.9 + 70

Total Perimeter = 179.9 meters

Total Cost = 32.65 (Total perimeter) + 150 (Number of days)

Total Cost = 32.65 (179.9) + 150 (5)

Total Cost = £ 6623.74

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step-by-step explanation:

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step-by-step explanation: