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Question 50(i)
Draw a graph for the radius and circumference of circles using a suitable scale.
[Hint Take radius=7, 14, 21 units and so on.]
From the graph,
Find the circumference of the circle when the radius is 42 units.

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Solution

If radius is 7 units, then circumference of the circle = 2×π×7
2×227×7=2×22=44units [circumference of a circle=2πr]
If radius is 14 units, then circumference =2×π×14=28×227=88units
If radius is 21 units, then circumference =2×π×21=42×227=132units
If radius is 28 units, then circumference =2×π×28=56×227=176units
If radius is 35 units, then circumference=2×π×35=70×227=220units
If radius is 42 units, then circumference =2×π×42=84×227=264units

Table for the graph,
Radius of the circle71421283542Circumference of the circle4488132176220264
Graph from the above data



The circumference of the circle will be 264 units when the radius is 42 units.




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