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Question

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

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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