Answer:
[tex] \huge{ \boxed{ \sf{12.57 \: {cm}^{2}}}}[/tex]
Step-by-step explanation:
[tex] \star[/tex] Circumference of a circle = 12.56 cm
First, finding the radius of a circle ( r ) :
[tex] \boxed{ \sf{Circumference \: of \: a \: circle = 2\pi \: r}}[/tex]
[tex] \mapsto{ \sf{12.56 = 2 \: ∗ \: \frac{22}{7} \: ∗ \: r}}[/tex]
[tex] \mapsto{ \sf{12.56 = 6.28 \: ∗ \: r}}[/tex]
[tex] \mapsto{ \sf{6.28r = 12.56}}[/tex]
[tex] \mapsto{ \sf{ \frac{6.28r}{6.28} = \frac{12.56}{6.28}}} [/tex]
[tex] \mapsto{ \sf{r = 2 \: cm}}[/tex]
The radius of a circle = 2 cm
Now, finding the area of a circle having radius of 2 cm :
[tex] \boxed{ \sf{Area \: of \: a \: circle \: = \: \pi \: {r}^{2} }}[/tex]
[tex] \mapsto{ \sf{ Area \: of \: a \: circle = \frac{22}{7} \: ∗ \: {(2)}^{2} }}[/tex]
[tex] \mapsto{ \sf{Area \: of \: a \: circle = \frac{22}{7} ∗ \: 4}}[/tex]
[tex] \mapsto{ \sf{Area \: of \: a \: circle = 12.57\: {cm}^{2} }}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
