How to derive the area of a circle. You will gather knowledge on the origin of the formula and the importance of it. Or Why is the area of a circle Pi times radius squared.
Methods to derive the formula for Area of Circle Method 1.
Here p stands for the ratio of the diameter of a circle to its circumference and stands for the radius of the circle. Let us decide on a width of the rectangle and place as many as we can inside the circle. The radius r of a circle is half the diameter d Substituting r into the area formula Which simplifies to If you know the circumference The circumference c of a circle radius r is given by Dividing both sides by 2p Substitute this into the area formula for r Which simplifies to. Here the Greek letter p represents the constant ratio of the circumference of any circle to its diameter approximately equal to 314159.