If the circumference of a circle is 16 meters what is the approximate area of the circle? Use 3 for pi.
C = 2πr, so r = C/2π
A = πr^2 = π(C/2π)^2 = C^2/4π
In this case, A = 16^2/12 = 21.3
To find the approximate area of a circle with the given circumference, we can use the formula for the circumference of a circle:
Circumference = 2πr
Where "Circumference" is the given circumference, "π" is the mathematical constant pi (approximately 3.14159), and "r" is the radius of the circle.
From the information given, we have:
Circumference = 16 meters.
π (pi) = 3 (approximate value).
Let's rearrange the formula to solve for the radius (r) first:
Circumference = 2πr
Divide both sides of the equation by 2π:
Circumference / 2π = r
Substituting the given values:
16 meters / (2 * 3) = r
16 meters / 6 = r
r ≈ 2.67 meters
Now that we have the radius, we can use the formula for the area of a circle:
Area = πr^2
Substituting the given values:
Area = 3 * (2.67 meters)^2
Area ≈ 3 * (2.67)^2
Area ≈ 3 * 7.1289
Area ≈ 21.3867 square meters
Therefore, the approximate area of the circle is around 21.3867 square meters when the circumference is 16 meters, using the approximation of π as 3.