AA circle has a diameter of 12 units find the area

Answer: 36π units² or 113.04 units²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is Area = πr².

Notice that here, we're given the diameter instead of the radius. It's important to understand that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 12 units or 6 units.

So plugging into the formula, we have (π) (6 units) ².

A common mistake is to plug 12 units into the formula but remember that we must plug in the radius and not the diameter.

Multiplying, (6 units) ² is equal to 6 units · 6 units or 36 units².

So we have 36π units².

So the area of the circle is 36π units².

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.

So we have (36) (3.14) which is equal to 113.04 units².

So the area of the circle is approximately equal to 113.04 units².