Question

The circumference of a circle is 12.56 cm. What is the area of the same circle?

Answer 1

Answer:

12.55cm²

Step-by-step explanation:

Answer 2

Answer:

$\huge{ \boxed{ \sf{12.57 \: {cm}^{2}}}}$

Step-by-step explanation:

$\star$ Circumference of a circle = 12.56 cm

First, finding the radius of a circle ( r ) :

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

$\mapsto{ \sf{12.56 = 2 \: ∗ \: \frac{22}{7} \: ∗ \: r}}$

$\mapsto{ \sf{12.56 = 6.28 \: ∗ \: r}}$

$\mapsto{ \sf{6.28r = 12.56}}$

$\mapsto{ \sf{ \frac{6.28r}{6.28} = \frac{12.56}{6.28}}}$

$\mapsto{ \sf{r = 2 \: cm}}$

The radius of a circle = 2 cm

Now, finding the area of a circle having radius of 2 cm :

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

$\mapsto{ \sf{ Area \: of \: a \: circle = \frac{22}{7} \: ∗ \: {(2)}^{2} }}$

$\mapsto{ \sf{Area \: of \: a \: circle = \frac{22}{7} ∗ \: 4}}$

$\mapsto{ \sf{Area \: of \: a \: circle = 12.57\: {cm}^{2} }}$

Hope I helped!

Best regards! :D

~$\sf{TheAnimeGirl}$