### Video Transcript

A pendent is made out of
silver. Calculate the area of the face
of the pendant. And we have a diagram here
where the pendant is this shaded portion here.

So this pendant is a large
circle and then it has a smaller circle cut out to the middle of it. And itโs that sort of doughnut
shape thatโs left that weโre looking to calculate the area of. So we can do this by working
out the area of the larger circle and then subtracting the area of the smaller
circle. Now the larger circle, if we
just think about it, has this radius here and that radius, well, itโs two
centimetres plus one centimetre. So this larger circle has a
radius of three centimetres. So our area formula is ๐๐
squared. And weโre gonna be doing the
large area subtract the small area. So we just need to substitute
in the relevant radii.

So for the larger circle, itโs
๐ multiplied by three squared and for the smaller circle itโs ๐ multiplied by
two squared. Now if we evaluate each of
these, we have nine ๐ subtract four ๐. And nine ๐ subtract four ๐ is
equal to five ๐. I havenโt been asked to leave
my answer in terms of ๐, so Iโll evaluate it as a decimal. And using my calculator, this
gives an answer of 15.7 centimetres squared to one decimal place. So that gives us the area of
this pendant here.