Question

The circumference of a circular Garden is 66 metre find its area.

Answer 1

Here's your answer looking for

I had attached the image to my answer

Hope you are satisfied with my answer

Answer 2

$\text{\Large\underline{\blue{Question:}}}$

The circumference of a circular Garden is 66 metre find its area.

$\text{\Large\underline{\orange{Diagram:}}}$

Kindly see attached picture:D

$\text{\Large\underline{\purple{Given:}}}$

• Circumference of a circular Garden = 66 m

$\text{\Large\underline{\red{To find:}}}$

• Area of Circular garden

$\text{\Large\underline{Answer:}}$

So to find area first we should know value of radius.

.°. First let's find radius of Circular garden

We know:

$\bigstar \boxed{ \sf{Circumference \: of \: circle = 2\pi r}}$

By using this formula we can find value of radius

$: \implies\sf{Circumference \: of \: circle = 2\pi r}$

Put value of circumference and pie

$: \implies\sf{66= 2 \times\dfrac{22}{7} \times r}$

$: \implies \sf{}r = 66 \times \dfrac{1}{2} \times \dfrac{7}{22}$

$: \implies \sf{}r = \cancel{66} {}^{ \: 3} \times \dfrac{1}{2} \times \dfrac{7}{ \cancel{22} {}^{ \: 1} }$

$: \implies \sf{}r = \dfrac{3 \times 7}{2}$

$: \implies \sf{}r = \dfrac{21}{2}$

$: \implies \underline{\boxed{\sf{}r =10.5 \: m}}$

Now Finally we can find value of Area by using this formula:

$\bigstar \boxed{ \sf{Area \: of \: circle=\pi r {}^{2} }}$

Insert values of pie and radius:

$: \implies\sf{Area \: of \: circle= \dfrac{22}{7} \times (10.5) {}^{2} }$

$: \implies\sf{Area \: of \: circle= \dfrac{22}{7} \times 10.5 \times 10.5 }$

$: \implies\sf{Area \: of \: circle= \dfrac{22}{7} \times \dfrac{105}{10} \times \dfrac{105}{10} }$

$: \implies\sf{Area \: of \: circle= \dfrac{22}{ \cancel7 {}^{ \: 1} } \times \dfrac{ \cancel{105} {}^{ \: 15} }{10} \times \dfrac{105}{10} }$

$: \implies\sf{Area \: of \: circle= \dfrac{22 \times 15 \times 105}{10 \times 10} }$

$:\implies\sf{Area \: of \: circle= \dfrac{34,650}{100}}$

$:\implies\underline {\boxed{\sf{Area \: of \: circle= 346.5m^2}}}$

_________________________________

☆know more ☆

Formulas related to Surface Area and Volume

$\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}$

And all we are done!✔

:D