5 Marks Questions

Question

Draw a graph for the radius and circumference of circle using a suitable scale.
[Hints Take radius = 7,14 and 21 units and so on]
From the graph,
(i) Find the circumference of the circle when radius is 42 units.
(ii) At what radius will the circumference of the circle be 220 units?

Vidyadip · Accepted Answer

If radius is 7 units, then circumference of the circle
$
=2 \times \pi \times 7=2 \times \frac{22}{7} \times 7=2 \times 22=44 \text { units }
$
$[\because$ circumference of a circle] $=2 \pi r$
If radius is 14 units, then circumference
$
=2 \times \pi \times 14=28 \times \frac{22}{7}=4 \times 22=88 \text { units }
$
If radius is 21 units, then circumference
$
=2 \times \pi \times 21=42 \times \frac{22}{7}=132 \text { units }
$
If radius is 28 units, then circumference
$
=2 \times \pi \times 28=56 \times \frac{22}{7}=22 \times 8=176 \text { units }
$
If radius is 35 units, then circumference
$
=2 \times \pi \times 35=70 \times \frac{22}{7}=220 \text { units }
$
If radius is 42 units, then circumference
$
=2 \times \pi \times 42=84 \times \frac{22}{7}=12 \times 22=264 \text { units }
$
Table for the graph,

Radius of circle	7	14	21	28	35	42
Circumference of circle	44	88	132	176	220	264

(i) Circumference of the circle when radius is 42 units, will be equal to 264 units.
(ii) Radius of the circle will be 35 units when circumference of the circle equals to 220 units.

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