Answer:
Area of circle is 78.5 cm²
Step-by-step explanation:
Given: circumference is 31.4 centimeters
We have to find the area of circle.
We know Circumference = [tex]2\pi r[/tex]
Also given circumference = 31.4
So, Substitute, to find the radius,
[tex]31.4=2\pi r[/tex]
Divide both side by 2π, we have,
[tex]\frac{31.4}{2\pi}=r[/tex]
Also, Area of circle = [tex]\pi r^2[/tex]
Substitute, [tex]\frac{31.4}{2\pi}=r[/tex] , we have,
Area of circle = [tex]\pi (\frac{31.4}{2\pi})^2[/tex]
Simplify, we get,
Area of circle = [tex]\pi (\frac{15.7}{\pi})^2[/tex]
Area of circle = [tex](\frac{(15.7)^2}{\pi})[/tex]
Put π = 3.14 , we get,
Area of circle = 78.5 centimeter²
Thus, Area of circle is 78.5 cm²
