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.
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.
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.