Question

$\underline{\underline{\pink{\huge\sf Question?}}}$

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
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Answer 1

Given :

Circumference of Circle = 154 cm

To Find :

Radius of Circle = ?

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\dag$ Formula Used :

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

Where :

$\sf{ \pi = \dfrac{22}{7} }$

r = Radius

$\dag$ Calculating the Radius :

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

Answer 2

Answer:

24.5cm

Step-by-step explanation:

perimeter of square = circumference = 154cm

circumference of a circle = 2$\pi$r         $\pi$ = 22/7

2$\pi$r = 154cm

$\pi$r = 77cm

r = 77*7/22cm

r = 49/2cm

r = 24.5cm