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

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 .

to know more about Area of circle and Circumference  here

https://brainly.com/question/17130827

#SPJ2