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The Circle By Ranjana

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O A CIRCLE Eg. ball,bangle,lemon.coin

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O A CENTRE : O RADIUS : OA B CENTRE RADIUS

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. O In a plane,each point of the circle is at equal distance from a fixed point.The fixed point is called the centre of the circle. CENTRE = O

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O The distance from centre to any point on the circle is called radius of the circle. A RADIUS = OA Radius

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. O D I A M E T E R A Line segment passing through the centre of the circle and whose end points lie on the circle is called the diameter of the circle. A B DIAMETER = AB

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. O The length of the circle or the distance around it is called circumference of the circle.

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. O AB A Line segment whose both the ends touches the circumference and passes through the centre is called diameter. DIAMETER : AB

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Relation between radius and diameter. O A B RADIUS = DIAMETER 2 OB = AB 2

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Eg. If diameter of the circle is 10 cm then find its radius?. O Diameter = 10cm Sol. Radius =diameter / 2 radius=10 cm/ 2 radius =5 cm AB

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. O Eg. If radius of the circle is 6 cm,then find the diameter of the circle? Radius = 6cm A Sol. Diameter = 2 x Radius Diameter = 2 x 6cm Diameter = 12 cm

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RELATION BETWEEN CIRCUMFERENCE AND DIAMETER. O CIRCUMFERENCE = 3 x DIAMETER(APPROX) A B

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Eg. Find the circumference (approx) of the circle whose diameter is 10cm.. O DIAMETER=10 CM Sol. Circumference = 3 x diameter(approx) Circumference = 3 x 10 cm Circumference = 30 cm A B

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EVALUATION 1. what is the relation between radius and diameter of the circle?. O AB 2. What is the relation between circumference and diameter of the circle? 3. In this figure Sol.Radius=diameter/2 Sol. Circumference=3Xdiameter(approx) radius diameter centre AB is ________. O is _________. OA or OB is ______.

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