[tex] \Large \underline{\tt Given} :[/tex]
- Diameter of circle, d = 5.6 cm
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[tex] \Large \underline{\tt To \: Find} :[/tex]
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[tex] \Large \underline{\tt Solution} :[/tex]
As, we have diameter of circle is 5.6 cm and radius is half of diameter.
[tex] \tt : \implies Radius, r = \dfrac{d}{2}[/tex]
[tex] \tt : \implies Radius, r = \dfrac{5.6 \: cm}{2}[/tex]
[tex] \tt : \implies Radius, r = \dfrac{\cancel{56} \: cm}{10\times \cancel{2}}[/tex]
[tex] \tt : \implies Radius, r = \dfrac{28 \: cm}{10}[/tex]
[tex] \tt : \implies Radius, r = 2.8 \: cm[/tex]
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Now, for Circumference :
[tex] \Large \underline{\boxed{\bf{Circumference = 2\pi r}}}[/tex]
[tex] \tt : \implies Circumference = 2 \times \dfrac{22}{7} \times 2.8 \: cm[/tex]
[tex] \tt : \implies Circumference = \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{28}}{10} \: cm[/tex]
[tex] \tt : \implies Circumference = 44 \times \dfrac{4}{10} \: cm[/tex]
[tex] \tt : \implies Circumference = \dfrac{176}{10}\: cm[/tex]
[tex] \tt : \implies Circumference = 17.6\: cm[/tex]
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Hence, circumference is 17.6 cm.
