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2 Answer

  • 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.                                                            

  • Answer:


    Step-by-step explanation: