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Hasmeet walks once round a circle with diameter 80 metres - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 2

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Hasmeet walks once round a circle with diameter 80 metres. There are 8 points equally spaced on the circumference of the circle. (a) Find the distance Hasmeet walk... show full transcript

Worked Solution & Example Answer:Hasmeet walks once round a circle with diameter 80 metres - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 2

Step 1

Find the distance Hasmeet walks between one point and the next point.

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Answer

To find the distance between one point and the next point on the circle, we first need to compute the circumference of the circle using the formula:

C=extdiameterimesextπC = ext{diameter} imes ext{π}

Given that the diameter is 80 metres, we have:

C=80imesextπC = 80 imes ext{π}

Now, since there are 8 points equally spaced along the circumference, the distance between one point and the next point is:

d=Cextnumberofpoints=80imesextπ8=10imesextπd = \frac{C}{ ext{number of points}} = \frac{80 imes ext{π}}{8} = 10 imes ext{π}

Using the approximate value of π (3.14), we calculate:

d10×3.14=31.4extmetresd \approx 10 \times 3.14 = 31.4 ext{ metres}

Step 2

Has the mean distance that Hasmeet walks between one point and the next point changed? You must give a reason for your answer.

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Answer

No, the mean distance has not changed. Even after four points are moved, the total distance Hasmeet walks around the circle remains the same, which maintains the same mean distance between points. Since there are still the same number of points on the circle, the average distance per segment stays unchanged at 31.4 metres.

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