Answer:
804 cm^2
Explanation:
The area of a circle is given by the formula:
A = πr^2
where r is the radius of the circle. Since we are given the diameter of the circle, which is 32 cm, we can find the radius by dividing the diameter by 2:
r = d/2 = 32/2 = 16 cm
Substituting this value into the formula for the area of a circle, we get:
A = πr^2 = π(16)^2 = 256π
To find the approximate value of this expression in square centimeters, we can use the approximation π ≈ 3.14. Therefore:
A ≈ 256(3.14) ≈ 804
Rounding this value to the nearest whole number, we get:
A ≈ 804
Therefore, the area of the circle to the nearest whole number is 804 square centimeters.