How do you find the area of a circle with the diameter?

The area of a circle is the amount of space enclosed within the boundary of a circle.

Answer: The formula for the area of a circle is (π/4) × d² when the diameter (d) of the circle is given.

Let's find the area of a circle when the diameter of the circle is given.

Explanation:

Method 1:

The area of circle = (π)r², where r is the radius of the circle

We can calculate the radius from the given diameter by r = d/2, then find the area by substituting in the above formula.

Method 2:

The area of the circle formula in terms of the diameter is (π/4) × d²

We can directly use the formula in terms of d and find the area of the circle.

Irrespective of the method we choose, we will get the same answer for the area of a circle.

Thus, the area of the circle formula is (π/4) × d² or πr².