Advd has a diameter of 12 centimeters. what is the area of the dvd? round your answer to the nearest hundredth.

The area of the DVD is (rounded to the nearest hundredth).

Step-by-step explanation:

The figure below is a circle of diameter 12 centimeter in the Cartesian coordinate system.

The area of a circle is [ 1 ].

We know that , where d is the diameter (or the line segment that passes through the center of a circle and whose endpoints lie on it) and r is the radius of the circle (the distance from the circle's center to the circle's circumference).

Similarly, the circumference of a circle is the distance around a circle (the red line in the figure below).

The constant is a Greek symbol and is determined by dividing the circumference of a circle by its diameter:

, although in practice .

To find what the DVD area is, and considering it as a circle, we can determine the area using [ 1 ].  

We also know that , or:

.

So, the area of the DVD, with diameter of 12 centimeters is:

or

or rounded to the nearest hundredth:

(Because 0.097 = ≈ ).

So, the a DVD with diameter of 12 centimeters has an area of (rounded to the nearest hundredth).

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225