Question

the circumference of a circle is 176cm. find its area​

Answer 1

Answer:

Area = 4928cm²

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Answer 2

Given :

• Circumference of Circle is 176 cm .

To Find :

• Area of Circle .

Solution :

Firstly we will find Radius :

Using Formula :

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

Putting Values :

$\longmapsto\tt{176=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{176\times{7}=44r}$

$\longmapsto\tt{1232=44r}$

$\longmapsto\tt{r=\cancel\dfrac{1232}{44}}$

$\longmapsto\tt\bf{r=28\:cm}$

Now ,

$\longmapsto\tt{Radius=28\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{\dfrac{22}{{\cancel{7}}}\times{{\cancel{28}}}\times{28}}$

$\longmapsto\tt{22\times{4}\times{28}}$

$\longmapsto\tt\bf{2464\:{cm}^{2}}$

So , The Area of Circle is 2464 cm² ...