Question

Find the diameter of the circle if it's circumference 44cm π=22\7

Answer 1

GIVEN :-

• Circumference of Circle = 44 cm.

TO FIND :-

• The diameter of Circle.

SOLUTION :-

$\\ : \implies \displaystyle \sf \:Circumference = 2\pi r$

$: \implies \displaystyle \sf \: 44 \: cm = 2 \times \frac{22}{7} \times r$

$: \implies \displaystyle \sf \: \dfrac{44}{2} = \frac{22}{7} \times r$

$: \implies \displaystyle \sf \: 22= \frac{22}{7} \times r$

$: \implies \displaystyle \sf \: r = \frac{22 \times 7}{22}$

$: \implies \displaystyle \sf \: r = 7 \times 1$

$: \implies \underline{ \boxed{ \displaystyle \sf \: r = 7 \: cm}}$

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As we know that the relation between diameter and the radius of the circle is given by,

$: \implies \displaystyle \sf \: d = 2r$

$: \implies \displaystyle \sf \: d = 2 \times 7$

$: \implies \underline{ \boxed{ \displaystyle \sf \: \bold{ d = 14\: cm}}}$

Answer 2

Answer:

Given :-

• Circumference of a circle is 44 cm.

To Find :-

• What is the diameter of a circle.

Formula Used :-

❶ Circumference of a circle,

$\boxed{\bold{\large{Circumference\: =\: 2πr}}}$

❷ Diameter of a circle,

$\boxed{\bold{\large{Diameter\: =\: 2\: ×\: radius}}}$

Solution :-

❶ Circumference of a circle is 44 cm

According to the question by using the formula we get,

⇒ 44 = 2 × π × r

⇒ r = $\dfrac{44}{2π}$

⇒ r = $\dfrac{44}{2} × \dfrac{7}{22}$

➠ Radius = 7 cm

Again, we have to find the diameter,

❷ Diameter of a circle,

⇒ d = 2 × r

⇒ d = 2 × 7

➥ Diameter = 14 cm

$\therefore$ The diameter of a circle is 14 cm .

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