Answer: Diameter = 12 meters
Area = [tex]113.04\text{ m}^2[/tex]
Step-by-step explanation:
Given : The distance around a circle is 37.7 meters long.
Also, the distance around the circle is named as circumference of circle .
Circumference of circle is given by :-
[tex]C=2\pi r\\\\\Rightarrow\ 37.7=2(3.14)r\\\\\Rightarrow\ r=\dfrac{37.7}{2(3.14)}=6.00318471338\approx6[/tex]
Thus , the radius of the circle is 6 meters.
Then, diameter = [tex]2r=2(6)=12\text{ meters}[/tex]
Area of circle is given by :-
[tex]A=\pi r^2\\\\\Rightarrow\ A=(3.14)(6)^2=113.04\text{ m}^2[/tex]
Hence, Diameter = 12 meters
Area = [tex]113.04\text{ m}^2[/tex]
