George has a large circular table with a circumference of 18 feet. What is the approximate area of the table?
C = pi * d
18 = 3.14d
18/3.14 = d
5.732 = d
5.732/2 = r
2.867 = r
A = pi * r^2
A = 3.14 * 8.2
A = 25.75 square feet
56.52
108 ft2
To find the area of the table, we need to know the radius of the circle. Since we are given the circumference, we can use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius.
In this case, the circumference is given as 18 feet. Let's solve the equation for the radius:
C = 2πr
18 = 2πr
To find the radius, divide both sides of the equation by 2π:
r = 18 / (2π)
Now we can find the approximate value of the radius:
r ≈ 18 / (2 × 3.14)
r ≈ 2.87 feet
Now that we know the radius, we can find the area of the circle using the formula A = πr^2, where A is the area and r is the radius:
A = π(2.87)^2
A ≈ 8.19 square feet
Therefore, the approximate area of the table is about 8.19 square feet.