Question

The area of a circle is 49 pie cm square. Find the circumference. ​

Answer 1

Given thαt,

• The αreα of α circle is 49π cm²

☯️ We need to find the circumference of the sαme circle.

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We know thαt,

$\large{\boxed{\sf{\orange{Area_{(Circle)} = \pi r^{2}}}}}$

$\large{\boxed{\sf{\orange{Circumference_{(Circle)} = 2 \pi r}}}}$

• Substitute the values in formulae of area.

$\implies{\sf{\pi r^{2} = 49 \pi}}$

$\implies{\sf{ \dfrac{\pi}{\pi} r^{2} = 49}}$

• Cancel out the π.

$\implies{\sf{ r^{2} = 49}}$

$\implies{\sf{r= \sqrt{49}}}$

:$\large\implies{\boxed{\bf{\red{r=7}}}}$

• Substitute the value radius(r) = 7 in the formulae of circumference.

$\implies{\sf{ 2 \times \dfrac{22}{7} \times 7}}$

• Cancel out the 7.

$\implies{\sf{ 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7}}}$

$\implies{\sf{2 \times 22}}$

:$\large\implies{\boxed{\bf{\red{44cm}}}}$

Therefore, the perimeter or circumference of the circle is 44cm.

And we are done! :D

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Answer 2

Therefore, the circumference of circle = 44cm.