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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 on the circumference of the circle, we need to calculate the circumference of the circle first. The formula for the circumference (C) is given by:

C=extdiameterimesextpiC = ext{diameter} imes ext{pi}

Here, the diameter is 80 metres. Thus:

C = 80 imes rac{22}{7} \\ C \approx 251.2 ext{ metres}

Since there are 8 points equally spaced, the distance between two consecutive points is:

Distance=C8251.2831.4extmetres\text{Distance} = \frac{C}{8} \approx \frac{251.2}{8} \approx 31.4 ext{ metres}

Step 2

Has the mean distance that Hasmeet walks between one point and the next point changed?

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Answer

No, the mean distance has not changed. The total distance around the circle remains unchanged at approximately 251.2 metres, and since the number of points (8) remains the same, the mean distance between points calculates to the same value, approximately 31.4 metres.

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