Question

find the radius of the circle if the circumference of the circle is equal to the perimeter of the square which is equal to 154 cm​ step by step​

Answer 1

Given :

• The Circumference of the circle is equal to the perimeter of the square which is equal to 154 cm .

To Find :

• Radius of Circle .

Solution :

As Given that the Circumference of the circle is equal to the perimeter of the Square . So ,

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}$

Putting Values :

$\longmapsto\tt{154=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{154\times{7}=44\:r}$

$\longmapsto\tt{1078=44\:r}$

$\longmapsto\tt{r=\cancel\dfrac{1078}{44}}$

$\longmapsto\tt\bf{r=24.5\:cm}$

So , The Radius of Circle is 24.5 cm .

Answer 2

Given :

• Circumference of Circle = 154 cm

To Find :

• Radius of Circle = ?

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SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Circumference = 2 \pi r }}}}}$

Where :

• $\sf{ \pi = \dfrac{22}{7} }$

• r = Radius

$\dag$ Calculating the Radius :

${\longmapsto{\qquad{\sf{ Circumference = 2 \pi r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 154 = 2 \times \dfrac{22}{7} \times r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 154 \times 7 = 2 \times 22 \times r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 1078 = 2 \times 22 \times r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 1078 = 44 \times r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{1078}{44} = r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{1078}{44} = r }}}} \\ \\ \\ \ {\longmapsto \; \; {\qquad {\pmb{\underline{\boxed{\red{\sf{ Radius = 24.5 \; cm }}}}}}}}$

$\therefore \;$ Radius of the Circle is 24.5 cm .

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