Answer: [tex]20.38\ cm^2[/tex]
Step-by-step explanation:
We know that the circumference of a circle is given by :-
[tex]C=2\pi r[/tex], where r is the radius of the circle .
Given : Circumference of circle = 16 cm
Then, [tex]16=2\pi r[/tex]
i.e [tex]r=\dfrac{16}{2\pi}=\dfrac{8}{\pi}[/tex] (1)
We know that the area of circle is given by :-
[tex]A=\pi r^2[/tex]
i.e. [tex]A=\pi (\dfrac{8}{\pi})^2[/tex] [From (1)]
i.e. [tex]A=\pi (\dfrac{64}{\pi^2})[/tex]
i.e. [tex]A=\dfrac{64}{\pi}[/tex]
Put [tex]\pi=3.14[/tex]
[tex]A=\dfrac{64}{3.14}=20.3821656051approx20.38\ cm^2[/tex]
Hence, area of circle = [tex]20.38\ cm^2[/tex]
