2 Answers

Egelev · Answer 1 · 2021-10-27T19:12:12+0000

Answer:

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

Explanation:

$\star$ Circumference of a circle = 12.56 cm

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

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

$\mapsto{ \sf{12.56 = 2 \: ∗ \: (22)/(7) \: ∗ \: r}}$

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

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

$\mapsto{ \sf{ (6.28r)/(6.28) = (12.56)/(6.28)}}$

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

The radius of a circle = 2 cm

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

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

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

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

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

Hope I helped!

Best regards! :D

~
$\sf{TheAnimeGirl}$

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