The circumference of a circle is 8.97cm. Find the length of the diameter. Give your answer rounded to 2 DP. PLEASE HELP ME

Mathematics

1 answer:

Leto [7]3 years ago

3 0

Length of diameter is 2.86 cm

Solution:

Given that circumference of a circle is 8.97 cm

To find: length of diameter

We can use the formula for circumference of circle to find radius and then we can find diameter

The circumference of circle is given as:

$C = 2 \pi r$

Where "r" is the radius of circle and $\pi$ is a constant equals to 3.14

Substituting c = 8.97 and $\pi = 3.14$

$8.97 = 2 \times 3.14 \times r\\\\8.97 = 6.28 \times r\\\\r = \frac{8.97}{6.28}\\\\r = 1.4283$

Thus radius of circle is 1.4283 cm

Finding diameter of circle

diameter = 2(radius)

diameter = 2(1.4283) = 2.8566

On rounding to two decimal point we get, 2.86

Thus length of diameter is 2.86 cm

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