wht is the area of a circle with a circumference of 25 meters? I have to use pi(3.14) and round to the nearest square meter.
C = Circumference
A = Area
r = Radius
C = 2 r pi Divide both sides with 2 pi
C / 2 pi = r
r = C / 2 pi
A = r ^ 2 pi
A = ( C / 2 pi ) ^ 2 * pi
A = ( C ^ 2 / 4 pi ^ 2 ) * pi
A = C ^ 2 / 4 pi
A = 25 ^ 2 / 4 pi
A = 625 / ( 4 * 3. 14 )
A = 625 / 12.56
A = 49.761 m ^ 2
A = approx. 50 m ^ 2
Thnx!!
To find the area of a circle with a given circumference, the formula you can use is:
A = (C²)/(4π)
where:
A = Area of the circle
C = Circumference of the circle
π = Pi (approximately 3.14)
Given that the circumference is 25 meters, we can substitute this value into the formula and calculate the area:
A = (25²)/(4 × 3.14)
A = 625/12.56
A ≈ 49.80
Rounding to the nearest square meter, the area of the circle would be approximately 50 square meters.
To find the area of a circle, you can use the formula:
Area = π * r^2
Where:
- π (pi) is a constant approximately equal to 3.14
- r is the radius of the circle
In this case, you are given the circumference of the circle, which is 25 meters. To find the radius, you can use the formula:
Circumference = 2 * π * r
By rearranging the formula, you can solve for the radius:
r = Circumference / (2 * π)
Substituting the given values:
r = 25 / (2 * 3.14)
r ≈ 25 / 6.28
r ≈ 3.98
Now that you have the radius (approximately 3.98), you can calculate the area of the circle using the formula:
Area ≈ 3.14 * (3.98)^2
Area ≈ 3.14 * 15.8404
Area ≈ 49.646056
Rounding to the nearest square meter:
Area ≈ 50 square meters
Therefore, the area of a circle with a circumference of 25 meters is approximately 50 square meters.