[tex]\huge \sf༆ Answer ༄[/tex]
As we know, Circumference of the circle can be expressed as :
[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]
where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.
- [tex] \sf2\pi r = 12.56[/tex]
- [tex] \sf \: r = \dfrac{12.56}{2\pi} [/tex]
- [tex] \sf \: r = \dfrac{12.56}{2 \times 3.14} [/tex]
- [tex] \sf \: r = \dfrac{12.56}{6.28} [/tex]
- [tex] \sf \: r = 2 \: \: ft[/tex]
Therefore, it's radius is 2 feet.
Now, let's calculate its area using the formula ~
[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]
plug the value of r (radius) as 2.
- [tex] \sf3.14 \times {2}^{2} [/tex]
- [tex] \sf3.14 \times 4[/tex]
- [tex] \sf12.96 \: \: ft {}^{2} [/tex]
Area of circle is 12.96 ft²
