Answer:
the approximate area of the circle is approximately 593.28 square inches.
Explanation:
To find the approximate area of a circle, we need to know the radius or diameter. Since we only have the circumference, we can use the formula for the circumference of a circle to find the radius, and then use that to calculate the area.The formula for the circumference of a circle is:
C = 2πrGiven that the circumference is 48.984 inches, we can set up the equation:
48.984 = 2πrTo find the radius, divide both sides of the equation by 2π:
r = 48.984 / (2π)Now, we can use the radius to calculate the area of the circle. The formula for the area of a circle is:
A = πr^2Substituting the value of the radius we found earlier:
A = π * (48.984 / (2π))^2Simplifying the equation:
A = (48.984^2) / (4π)Calculating the approximate area using a calculator:
A ≈ 593.28 square inches