Question

(Confused!!!!!) What is the arc measure of a sector with area 38.485 ft2 and radius 7?

Answer 1

@jim_thompson5910

Answer 2

first use this formula

\[\large A = \frac{t}{360}*\pi*r^2\]

which is the area of a sector formula

Answer 3

pi*7^2 = 49*pi =~ 153.938

Answer 4

you use this formula to determine the angle t

once you know the angle t, you can use it to figure out the arc length

Answer 5

38.485 / (49*pi) =~ 0.25

Answer 6

so 90 degrees ?

Answer 7

yeah roughly, nice work so far

Answer 8

so t = 90 and r = 7

plug them into

\[\large s = \frac{t}{360}*2*\pi*r\]

Answer 9

90/360 * 2 * 3.14 * 7 = I got 175.84

Answer 10

I'm getting something way smaller

Answer 11

try it again

Answer 12

I see where you went wrong, you divided in the wrong order

you typed in 360/90 when you should have said 90/360

Answer 13

10.99 ?

Answer 14

good

Answer 15

:D