Question

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

Answer 1

Answer:

d= 9.032 units

Step-by-step 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,

$C=2\pi r\\Putting\ the\ value\ of\ \pi and \C\\28.36 = 2 * 3.14 *r\\28.36=6.28* r\\r=\frac{28.36}{6.28}\\ r=4.516\ units$

Now to find the diameter:

d = r*2

d = 4.516*2

d= 9.032 units

Answer 2

Answer:

The diameter of the circle is 9.03 units

Step-by-step 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

$\implies \frac{28.36}{3.14}=\frac{3.14d}{3.14}$

$\implies 9.03=d$.

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