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How do you calculate the circumference of a circle with radius 7 cm?

To calculate the circumference of a circle with a radius of 7cm7 \, \text{cm}, we can use the formula:

C=2πrC = 2\pi r

Here, CC represents the circumference, π\pi (pi) is a mathematical constant approximately equal to 3.141593.14159, and rr is the radius of the circle.

In this specific case, the radius rr is given as 7cm7 \, \text{cm}. By substituting this value into the formula, we have:

C=2×π×7C = 2 \times \pi \times 7

Next, we proceed to perform the multiplication:

C=2×3.14159×7C = 2 \times 3.14159 \times 7

Calculating this gives:

C2×3.14159×743.98226C \approx 2 \times 3.14159 \times 7 \approx 43.98226

Thus, the circumference of the circle is approximately 43.98cm43.98 \, \text{cm}.

For GCSE Maths purposes, it is common to use the value of π\pi as 3.143.14 for simplicity. Using this approximation, we can calculate the circumference as follows:

C=2×3.14×7=43.96C = 2 \times 3.14 \times 7 = 43.96

Therefore, when using π3.14\pi \approx 3.14, the circumference is 43.96cm43.96 \, \text{cm}. This approach allows you to accurately determine the circumference of any circle provided you know its radius.

Answered by: Dr. Sarah Wilson
GCSE Physics Tutor
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