Question

Which of the following could be used to calculate the area of the sector in the circle shown above?

π(5in)30 over 360
π(5in)230 over 360
π(30in)25 over 360
π(30in)5 over 360

Answer 1

@snowflake0531

Answer 2

If I did this I would do
30/360 = x/area
and the area is pi r^2, which is 25pi
30/360 = x/25pi
and then cross multiply

Answer 3

So I got 30/360 because this is looking at degrees so ---? 30/360
But then we also have x/area, because that's the fraction of it we want

So
x/25pi = 30/360
Cross multiply you would get
360x = 25pi (30)
So x equals...?

Answer 4

Cross multiplying makes it seem more complicated

Just use the formula

Answer 5

\(\text{area of sector }= \dfrac{\theta}{360} \times \pi r^2\)

plug in your angle in place of \(\theta\)

and replace r with your radius

ta-da

Answer 6

So it has to be one of the last two options?

Answer 7

Oh wait, now I've just confused myself. Is it switched around

Answer 8

what is the radius?

what is the angle?

Answer 9

Oh no I think in the picture you sent the pi r squared was on the right and mine is on the left whoops

Answer 10

Oh the second one

Answer 11

Again?

Answer 12

it doesn't matter which order, you're multiplying it all

it just matters that you make sure you're doing

pi * angle/ 360 * radius ^2

Answer 13

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Seafoam
Oh the second one
\(\color{#0cbb34}{\text{End of Quote}}\)

Correct

Answer 14

yayy

Answer 15

Thank you!

Answer 16

You're welcome!