Answer:
The circumference of the circle is 15.49π cm
Step-by-step explanation:
To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of a circle and we will clear the radius
a = area = 60π
r = radius
a = π * r²
r = √(a/π)
r = √(60π/π)
r = √60
r = 7.746 cm
now we use the formula to calculate the circumference of a circle
c = π * 2r
c = π * 2 * 7.746
c = 15.49π cm
The circumference of the circle is 15.49π cm
Area = 60π cm²
Radius = n
circumference = x
So ,
= πr²=60π cm²
= n²= 60π cm²/π
= n² = 60 cm
= n = 7.74 cm (approx.)
Circumference = x = 2πr = 2πn = 2 × 3.14 × 7.74 cm
x= 48.60 cm or (15.48π cm)
