Question

8 find the diameter of the circle if its area measures 113.04 square units.

Explanation:

Step1: Recall area formula of circle

The area of a circle is given by $A = \pi r^2$, where $A$ is area and $r$ is radius. We use $\pi = 3.14$.

Step2: Solve for radius $r$

Substitute $A = 113.04$ into the formula:
$$113.04 = 3.14 r^2$$
First, divide both sides by 3.14:
$$r^2 = \frac{113.04}{3.14} = 36$$
Take the square root of both sides:
$$r = \sqrt{36} = 6$$

Step3: Calculate diameter

Diameter $d = 2r$, so:
$$d = 2 \times 6 = 12$$

Answer:

12 units