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# 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) × d^{2} 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)r^{2}, 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) × d^{2}

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) × d^{2} or πr^{2}.

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