Respuesta :
Circumference = πD
πD = 37.7
D = 37.7/π
D = 12 units
radius = 1/2 x D
radius = 1/2 x 12
Radius = 6 units
Area = πr²
Area = π(6)² = 113 unit²
πD = 37.7
D = 37.7/π
D = 12 units
radius = 1/2 x D
radius = 1/2 x 12
Radius = 6 units
Area = πr²
Area = π(6)² = 113 unit²
The area of circle of circumference 37.7 is 112.76 .
What is area of circle?
The area of a circle is pi times the radius squared (A = π r²)
where ,
A = Area of circle
r = radius of circle
What is circumference of circle?
The circumference of a circle is defined as the linear distance around it.
C=2πr
where ,
c = circumference of circle
r = radius of circle
According to question
Circumference = 37.7
2[tex]\pi r\\[/tex] = 37.7
[tex]\pi r[/tex] = 18.85
[tex]\frac{22}{7}r[/tex]=18.85 ([tex]\pi = 22/7[/tex])
r = 18.85 × [tex]\frac{7}{22}[/tex]
r = 5.99
Now area of circle = [tex]\pi r^{2}[/tex]
Area of circle = [tex]\frac{22}{7} * 5.99^{2}[/tex]
Area of circle = 112.76
Hence , the area of circle is 112.76 .
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