Question

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

Answer 1

Option B: $11,304 \mathrm{mm} ^2$ is the area of the compact disc.

Explanation:

The diameter of the compact disc is $120mm$.

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

$A=\pi r^2$ where $r=\frac{d}{2}$

Substituting the value of d in $r=\frac{d}{2}$, we get,

$r=\frac{120}{2} =60$

Thus, $r=60$ and $\pi=3.14$. Let us substitute these values in $A=\pi r^2$, we get,

$A=3.14\times(60)^2$

Simplifying, we have,

$A=3.14\times3600$

Multiplying, we get,

$A=11304mm^2$

Thus, the area of the compact disc is $11,304 \mathrm{mm} ^2$

Hence, Option B is the correct answer.