Respuesta :
Circumference = 2 x Pi x Radius (R)
Pi = approximately 3.14
-> 31.4 = 2 x 3.14 x R
-> R x 6.28 = 31.4
-> R = 31.4/6.28
-> R = 5 units
Area = Pi x R^2
-> Area = 3.14 x 5^2
-> Area = 3.14 x 25
-> Area = 78.5 Units^2
Pi = approximately 3.14
-> 31.4 = 2 x 3.14 x R
-> R x 6.28 = 31.4
-> R = 31.4/6.28
-> R = 5 units
Area = Pi x R^2
-> Area = 3.14 x 5^2
-> Area = 3.14 x 25
-> Area = 78.5 Units^2
Answer:
The area of the circle is 78.5 unit square.
Step-by-step explanation:
Given : The circumference is 31.4 units.
To find : The area of the circle ?
Solution :
The circumference of the circle is [tex]C=2\pi r[/tex]
Where, r is the radius
C is the circumference C=31.4 units
[tex]31.4=2\pi r[/tex]
[tex]r=\frac{31.4}{2\times 3.14}[/tex]
[tex]r=5[/tex]
The radius of the circle is r=5 unit.
The area of the circle is [tex]A=\pi r^2[/tex]
[tex]A=3.14\times 5^2[/tex]
[tex]A=3.14\times 25[/tex]
[tex]A=78.5[/tex]
Therefore, The area of the circle is 78.5 unit square.