Answer:
119.32 meters
Step-by-step explanation:
The formula for the area of a circle is:
A = πr², where π = 3.14 and r = radius
The formula for the circumference of a circle is:
C = 2πr, where π = 3.14 and r = radius
So, in order to solve for circumference, you need to solve for 'r'. Using the formula for area:
1134.11 = πr²
Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²
Take the square root of both sides: √361.2 = √r² or r≈19
Use the value of r = 19 to solve for circumference:
C = 2π(19) = 2(3.14)(19) = 119.32 meters
The circumference of a circle is 119.32 meters.
It is given that the area of the circle is 1,134.11 square meters.
It is required to find the circumference of a circle.
It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We know the area of the circle is given by:
[tex]\rm A = \pi r^2[/tex] where r is the radius of the circle.
[tex]1134.11 = \pi \times r^2[/tex]
[tex]\rm r^2 =\frac{1134.11}{\pi}[/tex]
[tex]\rm r^2 =\frac{1134.11}{3.14} \Rightarrow 361.118\\[/tex] (π = 3.14)
[tex]\rm r = \sqrt{361.118}[/tex]
r = 19 meters
circumference of a circle = 2πr
= 2×3.14×19
= 119.32 meters
Thus, the circumference of a circle is 119.32 meters.
Learn more about circle here:
brainly.com/question/11833983
