The area of the parallelogram is equal to the product of its base and height, the area is the twice of πr,r or πr².
Step-by-step explanation:
The circumference of a circle = 2πr.
where r= radius of the circle.
If the circle is divided into equal sectors it will form a triangle.
If we arrange these triangle one by one we'll get a parallelogram. (refer the image).
Then the circumference of the circle becomes the base of the parallelogram and radius becomes the height.
∴Base= 2πr and Height=r.
The area of the parallelogram = Base×Height.
∴ The area for the circle turned parallelogram = 2πr×r.
⇒Area= 2πr².
In other words, twice the πr and r (or) πr².
Thus area of a circle can be derived from the circumference formula.
