Given below are the steps for finding the central angle of a circle:

**Step 1:**First of all, we will calculate the circumference by using the following formula:

Circumference (C) = $2 \times \pi \times r$. Here, $\pi$ = 3.14 and ‘r’ is the radius, which is given in question. If diameter is given in diameter form, then we convert diameter into radius by dividing diameter by 2.

**Step 2:**After evaluation of circumference, now we calculate arc length of circle by using following formula:

Arc length (s) = $r \times \theta$

**Step 3:**After first two steps, now we calculate central angle of circle by using following formula:

Central angle of circle ($\theta$) = $\frac{\text{arc length} \times 360}{2 \times \pi \times r}$.

Now, we take an example to understand the process of evaluating the central angle of circle:

**Example:**Find the central angle of circle, whose arc length is 7.33 meter and diameter is 14 meter.

**Solution:**We use the following steps for evaluating a central angle of circle, whose diameter and arc length is given.

**Step 1:**First of all, we calculate circumference of circle by following formula:

Circumference (C) = $2 \times \pi \times r$

= $2 \times 3.14 \times ($$\frac{14}{2}$$)$. Here, 14 is diameter. So, radius is ($\frac{\text{Diameter}}{2}$),

= 2 x 3.14 x 7,

= 43.96 inches.

**Step 2:**Here, Arc Length of Circle is given.

Arc length (s) = 7.33 inches

**Step 3:**Now, we calculate central angle of circle by using the following formula:

Central angle of circle ($\theta$) = $\frac{\text{arc length} \times 360}{2 \times \pi \times r}$

= $\frac{7.33 \times 360}{43.96}$

= 60 degree

So, central angle of circle is '60 degree'.