Option B) is correct.
Here, we are given –
- Diameter of circle is = 12 cm
- [tex]\star{\underline{\boxed{\sf{\pink{Diameter = 2 \times Radius }}}}}[/tex]
Let's find it's radius first.
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{Diameter }{2} [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{12 }{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \cancel{\dfrac{12 }{2}}[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Radius = 6 \: cm[/tex]
We know that–
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Circumference \: of \: circle = 2\pi r}[/tex]
[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi r[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi \times 6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} =2 \times 3.14\times 6[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Circumference_{(Circle)} = 37.68 \: cm }\\[/tex]
- Henceforth, circumference of the given circle will be 37.68 cm.
