Final answer:
Jane's circular pond has a diameter of 2.4 meters, so the radius is 1.2 meters. The area is 4.52 square meters and at £14 per square meter, the total cost is approximately £63, rounded to the nearest pound. The closest choice provided is £67.
Step-by-step explanation:
Jane wants to find out how much it will cost to cover a circular pond with wire sheeting. We are given the diameter of the pond, which is 2.4 meters, and the cost per square meter of the sheeting, which is £14. To calculate the cost, we need to find the area of the circle using the formula: Area = πr², where r is the radius of the circle. Since the radius is half of the diameter, the radius of Jane's pond is 1.2 meters. Substituting the radius into the formula, we get Area = π * (1.2 m)² = 4.52 m². Finally, we need to multiply the area by the cost per square meter to find the total cost: 4.52 m² * £14/m² = £63.28. Rounding to the nearest pound gives us a total cost of £63, so the correct option from the provided choices is B) £67 as it is the closest to the actual amount of £63.