A DVD has a diameter of 24 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.
recall that
A = πr^2 = π(d/2)^2
I guess we're not counting the hole in the middle, eh?
To find the area of the DVD, you need to calculate the area of the circular shape. The formula for the area of a circle is:
Area = π * r^2
where π is the mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Given that the DVD has a diameter of 24 centimeters, to find the radius, you divide the diameter by 2:
Radius = Diameter / 2 = 24 cm / 2 = 12 cm
Now, substitute the radius value of 12 cm into the area formula:
Area = 3.14 * (12 cm)^2
= 3.14 * 144 cm^2
= 452.16 cm^2 (rounded to two decimal places)
Therefore, the area of the DVD is approximately 452.16 square centimeters.