Question

Find the area of the sector shown

Answer 1

well, we know that an entire circle is 360 degrees, and the sector we have is 80 degrees

therefore, the area of the sector is (80/360) of the entire circle

we multiply (80/360) times the area of the circle, where area = pi*r^2

putting it all together:

area of sector = (80/360)*(pi)(r^2)

Answer 2

i put the formula as (1/2) (8^2) (80) (pi/180)

Answer 3

yeah, that works too. it should give you the same result in the end

Answer 4

well i got 44.68
is that correct

Answer 5

yeah that's right, good job

Answer 6

are you sure that's correct because i checked the answer and it's supposed to be 35.45

Answer 7

so i was confused

Answer 8

@jdbruso

Answer 9

@UsukiDoll I'm pretty sure I'm right, please check my work?

Answer 10

i think so too but idk why it has a different answer

Answer 11

are we finding a semi-circle, quarter circle, or any sector (which is a fractional part of the area)?

Answer 12

any sector

Answer 13

alright so the formula for the area for circle is \[A= \pi r^2 \]
But for any sector we either use the formula
\[A= \frac{n}{360} \pi r^2 \] which is n is the number of degrees in the central angle of the sector or
\[A= \frac{C_s}{2 \pi r} \pi r^2 \] where C_s is the length of the sector

Answer 14

so you're given 80 degrees.. that's your n and you have a radius of 8