Question

A circle has a circumference of 28.36 units what is the diameter of the circle

Answer 1

The diameter of the circle is 9.03 units

Explanation:

The formula for calculating the circumference of a circle is
`C=\pi d`.

From the question, the diameter of the circle is 28.36 units.

Since the circumference is rounded to the nearest hundredth, we substitute
`\pi=3.14` and
`C=28.36` into the formula and solve for d.

`\implies 28.36=3.14d`

Divide both sides by 3.14

`\implies (28.36)/(3.14)=(3.14d)/(3.14)`

`\implies 9.03=d`.

Hence the diameter of the circle is 9.03 units to the nearest hundredths

Answer 2

d= 9.032 units

Explanation:

Given

`Circumference = 28.36`

We will use the formula for circumference of a circle to find it's radius and then diameter will be found using radius.

So,

`C=2\pi r\\Putting\ the\ value\ of\ \pi and \C\\28.36 = 2 * 3.14 *r\\28.36=6.28* r\\r=(28.36)/(6.28)\\ r=4.516\ units`

Now to find the diameter:

d = r*2

d = 4.516*2

d= 9.032 units