Question

if the circumference of a circle is 352 cm then its area ______​

Answer 1

Answer:

Step-by-step explanation:

Circumference = 2πr

352 = 2 × 22/7 × r

r = 352 × 7 / 22 × 2

r = 56

Area = πr²

= 22/7 × 56 × 56

= 22 × 8 × 56

= 9856 cm²

Answer 2

Answer:

Area of the circle = 9856 cm²

Step-by-step explanation:

Given :

Circumference of the circle = 352 cm

To find :

The area of the circle

Concept :

To find the area of the circle use this formula -:

$\boxed{\sf{A=\pi{r}^{2}}}$

Where,

A = Area of the circle

r = Radius

So , to find the area of the circle first we have to find the radius of the circle.

So , to find the radius of the circle use this formula -:

$\boxed{\sf{r=\dfrac{C}{2\pi}}}$

Where,

C = Circumference

Solution :

Radius -:

$:\Rightarrow\sf{r=\dfrac{352cm}{2\times\dfrac{22}{7}}}$

$:\Rightarrow\sf{r=\dfrac{352cm}{\dfrac{44}{7}}}$

$:\Rightarrow\sf{r=352cm\div\dfrac{44}{7}}$

$:\Rightarrow\sf{r=\cancel{352cm}\times\dfrac{7}{\cancel{44}}}$

$:\Rightarrow\sf{r=8\times7}$

$:\Rightarrow\sf{r=56cm}$

Area -:

$:\Rightarrow\sf{A=\dfrac{22}{7}\times{56cm}^{2}}$

$:\Rightarrow\sf{A=\dfrac{22}{7}\times(56cm\times56cm)}$

$:\Rightarrow\sf{A=\dfrac{22}{\cancel{7}}\times\cancel{3136cm}}$

$:\Rightarrow\sf{A=22\times448}$

$:\Rightarrow\sf{A=9856{cm}^{2}}$

So , the area of the circle is 9856 cm² .