Question

3.
(a) radius = 7 cm (b) radius = 1.4 m
If the circumference of a circle is 44 m, find its area.
​

Answer 1

Answer:

Correct Question :-

If the circumference of a circle is 44 m, find its area.

Given :-

Circumference = 44 m

To Find :-

Area

Solution :-

As we know that

$\large \bf \: Circumference = 2\pi r$

$\large \sf \: 44 = 2 \times \dfrac{22}{7} \times r$

$\large \sf \: 44 = \dfrac{44}{7} \times r$

$\large \sf \: 44 = 6.28r \{approx \}$

$\large \sf \: r \: = \dfrac{44}{6.28}$

$\large \sf \: r \approx \: 7$

Now,

Finding area

$\large \bf \: Area \: = \pi {r}^{2}$

$\large \sf \: Area \: = \dfrac{22}{7} \times {7}^{2}$

$\large \sf \: Area = \dfrac{22}{7} \times 49$

$\large \sf \: Area \: = 22 \times 7$

$\large \sf \: Area \: = 154 \: {m}^{2}$

Done :-

Answer 2

Answer:

Correct Question :-

If the circumference of a circle is 44 m, find its area.

Given :-

Circumference = 44 m

To Find :-

Area

Solution :-

As we know that

\large \bf \: Circumference = 2\pi rCircumference=2πr

\large \sf \: 44 = 2 \times \dfrac{22}{7} \times r44=2×

7

22

×r

\large \sf \: 44 = \dfrac{44}{7} \times r44=

7

44

×r

\large \sf \: 44 = 6.28r \{approx \}44=6.28r{approx}

\large \sf \: r \: = \dfrac{44}{6.28}r=

6.28

44

\large \sf \: r \approx \: 7r≈7

Now,

Finding area

\large \bf \: Area \: = \pi {r}^{2}Area=πr

2

\large \sf \: Area \: = \dfrac{22}{7} \times {7}^{2}Area=

7

22

×7

2

\large \sf \: Area = \dfrac{22}{7} \times 49Area=

7

22

×49

\large \sf \: Area \: = 22 \times 7Area=22×7

\large \sf \: Area \: = 154 \: {m}^{2}Area=154m

2

\begin{gathered} \\ \end{gathered}

Done :-