What is the circumference of the circle if the area of the square is 25m to the second power?
Area of a circle with radius r,
A = πr² ...(1)
Circumference of a circle with radius r,
C = 2πr ...(2)
If A=25 m²
25=πr^sup2;
r=√(25/π)
=5/√π
Calculate value of r and substitute into equation (2) above to find circumference (in metres).
To find the circumference of a circle, we need to know its radius or diameter. However, in this case, you have provided information about the area of a square. To find the circumference of a circle, we need information specifically about the circle.
The area of a square is calculated by multiplying the length of one side by itself. So, if the area of a square is 25m², the length of one side would be the square root of 25.
√25 = 5
Therefore, the length of one side of the square is 5m.
Now, it's important to note that the length of one side of a square is the same as the diameter of a circle inscribed within that square.
The circumference of a circle can be calculated using the formula:
Circumference = πd
where π (pi) is a mathematical constant approximately equal to 3.14, and d is the diameter of the circle.
Since we know the length of one side of the square is 5m, which is the same as the diameter of the circle, we can substitute this value into the formula:
Circumference = π × 5
Now we have a rough estimation of the circumference, but let's use a more precise value for pi. Pi is an irrational number, which means that its decimal representation goes on forever without repeating. For most calculations, using 3.14 as an approximation is sufficient.
So, the circumference would be:
Circumference ≈ 3.14 × 5
Circumference ≈ 15.7m
Therefore, the circumference of the circle, using an approximation for pi, would be approximately 15.7 meters.