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Question
Draw a graph for the radius and circumference of circle using a suitable scale.
(Hint: Take radius = 7, 14, 21 units and so on)
From the graph,
- Find the circumference of the circle when radius is 42 units.
- At what radius will the circumference of the circle be 220 units?
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Solution
If radius is 7 units, then circumference of the circle = 2 × π × 7
= `2 xx 22/7 xx 7` ...[∵ Circumference of a circle = 2πr]
= 2 × 22
= 44 units
If radius is 14 units, then circumference = 2 × π × 14
= `28 xx 22/7`
= 88 units
If radius is 21 units, then circumference = 2 × π × 21
= `42 xx 22/7`
= 132 units
If radius is 28 units, then circumference = 2 × π × 28
= `56 xx 22/7`
= 176 units
If radius is 35 units, then circumference = 2 × π × 35
= `70 xx 22/7`
= 220 units
If radius is 42 units, then circumference = 2 × π × 42
= `84 xx 22/7`
= 264 units
Table for the graph,
| Radius of the circle | 7 | 14 | 21 | 28 | 35 | 42 |
| Circumference of the circle | 44 | 88 | 132 | 176 | 220 | 264 |
Graph from the above data
- The circumference of the circle will be 264 units when radius is 42 units.
- The radius of the circle will be 35 units, when the circumference of the circle equals 220 units.
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