Solution:
We know that the diameter of the semi-circle is 30 inches. Before we use the formula, let's find the radius of the semi-circle.
⇒ Diameter = 2(Radius)
⇒ 30 inches = 2(Radius)
⇒ Radius = 30/2 = 15 inches
The area of the circle is πr², but we need to find the area of the semi-circle. A semi-circle is basically half of a circle. This means that the area of a semi-circle is πr²/2. Now, let's solve for the area of the semi-circle.
⇒ πr²/2 = Area of semi-circle
⇒ (22/7)(15²)/2
⇒ (22/7)(225)/2
⇒ (22/7)(112.5)
⇒ 22/7 × 112.5
⇒ 2475/7 in²
Thus, the area of the semi-circle is 2475/7 in².