The formula for the circumference of a circle is given by:
C = 2πr,
where C is the circumference and r is the radius of the circle.
In this case, the circumference is given as 77 m. We can use this information to find the radius of the circle.
77 = 2πr,
Dividing both sides of the equation by 2π, we have:
r = 77 / (2π).
To find the area of the circle, we use the formula:
A = πr²,
where A is the area of the circle.
Substituting the value of r we obtained earlier, we have:
A = π * (77 / (2π))²,
A = π * (77² / (2π)²),
A = π * (77² / 4π²),
A = (77² / 4π).
Now we can calculate the value of the area using a calculator:
A ≈ 14 m².
Therefore, the area of the circle is approximately 14 m².
♥️
