Rupert is copying some files from his computer to a compact disc, like the one shown above.

If the diameter of the compact disc is 120 millimeters, what is the approximate area ignoring the center hole? (Use 3.14 for pi.)

A.

376.8 mm2

B.

11,304 mm2

C.

753.6 mm2

D.

45,216 mm2

Option B: is the area of the compact disc.

Explanation:

The diameter of the compact disc is .

To determine the area of the compact disc, let us substitute the values in the area of the circle formula,

where

Substituting the value of d in , we get,

Thus, and . Let us substitute these values in , we get,

Simplifying, we have,

Multiplying, we get,

Thus, the area of the compact disc is

Hence, Option B is the correct answer.

.

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: