Circumference of circle Application

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Presentation transcript:

Circumference of circle Application

Recap The ratio of circumference to diameter is constant for all circles. This ratio is called Pi and is written as π. Where π = C = π ⇒ C = πd ⇒ C = 2πr d 22 7

Circumference of circle Application - Introduction We know that perimeter is measuring the outside of any shape. Let us learn how to calculate perimeter by small Illustration of using rope length. Let us take a rope of x length and try reshaping the rope into a square as given below. X length From this, its clearly seen that Perimeter of a square = length of the rope.

Circumference of circle Application - Introduction Now let us see 2nd illustration for Circle: Let us take the same rope of x length and try reshaping it as a circle. X length What can you conclude from the illustration? From the above illustration, we conclude that Circumference of a circle = length of the rope. Therefore, if the rope of any particular length is reshaped into any shape , can become perimeter of that shape (as far as circle, its circumference)

Given:- Length of the wire = 88cm To Find:- radius of circle Example 1 : A wire of length 88 cm is bent as a circle. What is the radius of the circle. Solution Given:- Length of the wire = 88cm To Find:- radius of circle Since the wire is bent to a circle Circumference of circle = length of wire = 88cm Circumference (C) = 2πr 2 Divide 88 and 44 by 44 = 14 cm (ans)

Try these A wire of length 44 cm is bent as a circle. What is the radius of the circle? A wire of length 110 cm is bent as a circle. What is the radius?