Question

5. Find the circumference of the circle whose area is 7546sq.cm. (Take pie= 22/7)​

Answer 1

Given :

• Area of the Circle is 7546 cm².

To Find :

• Circumference of Circle.

Solution :

Firstly we will find Radius of Circle :

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Circle=\pi{{r}^{2}}}$

Putting Values :

$\longmapsto\tt{7546=\dfrac{22}{7}\times{{r}^{2}}}$

$\longmapsto\tt{7546\times{7}=22\times{{r}^{2}}}$

$\longmapsto\tt{52822=22{r}^{2}}$

$\longmapsto\tt{{r}^{2}=\cancel\dfrac{52822}{22}}$

$\longmapsto\tt{{r}^{2}=2401}$

$\longmapsto\tt{r=\sqrt{2401}}$

$\longmapsto\tt\bold{r=49\:cm}$

So , The Radius of Circle is 49 cm..

Now ,

$\longmapsto\tt{Radius=49cm}$

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{{\cancel{49}}}}$

$\longmapsto\tt{44\times{7}}$

$\longmapsto\tt\bold{308{cm}^{2}}$

So , The Circumference of Circle is 308 cm²..