Question

The circumference of a circular piece of plot is 440 m. Find its area.​

Answer 1

Given that :

• Circumference of a circular piece of plot is 440m

To find :

• Area of the circular plot

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As we know that :

$\underline{\boxed{\tt\purple{\bigstar \: circumference \: of \: a \: cirle = 2\pi \: r}}}$

Now,

$\tt:\implies \: 2\pi \: r = 440 \\ \\ \\ \sf:\implies \: 2 \times \frac{22}{7} \times r = 440 \\ \\ \\ \sf:\implies \: r = \frac{\cancel{440} \times 7 }{2 \times \cancel{22}} \\ \\ \\ \sf:\implies \: r = \frac{140}{2} \\ \\ \\ \sf:\implies \: r = \cancel\frac{140}{2} \\ \\ \\ \sf:\implies \: r =\underline{\boxed{\tt\purple{70m}}} \bigstar$

Now, we'll find the area of the circular piece of plot

$\underline{\boxed{\sf\purple{\bigstar \: area \: of \: a \: circle \: = \pi \: {r}^{2} }}}$

Now,

$\tt:\implies \: area \: of \: the \: circle \: = \pi \: {r}^{2} \\ \\ \\ \tt:\implies \: area \: of \: the \: circle \: = \frac{22}{7} \times 70 \times 70 \\ \\ \\ \tt:\implies \: area \: of \: the \: circle \: = \frac{22}{\cancel{7}} \times \cancel{70} \times 70 \\ \\ \\ \tt:\implies \: area \: of \: the \: circle = 22 \times 10 \times 70 \\ \\ \\ \tt:\implies \: area \: of \: the \: circle = \underline{\boxed{\tt\purple{15400 {m}^{2} }}}\bigstar$

$\sf\therefore{\underline{Hence, \: the \: area \: of \: the \: cirular \: plot \: is \: \bold{15400 {m}^{2} }.}}$

Answer 2

Answer:

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