Question

can someone give me the formula to this question and explain how to do it please?
"What is the arc measure of a sector with an area of 38.485 ft2 and in a circle with a radius of 7ft?"

Answer 1

If the radius is 7, the entire circle would have area pi*7^2 = 49*pi =~ 153.938 But we only have 38.485, so divide that by (49*pi) and we have: 38.485 / (49*pi) =~ 0.25, that's almost exactly 1/4 of a circle (90 degrees or pi/2 radians)

Answer 2

...idont get it.. @ninaesb

Answer 3

thats what i found. do you have options ?

Answer 4

no, i have to show work @ninaesb

Answer 5

we have: 38.485 / (49*pi) =~ 0.25 do that .

Answer 6

.25 is the answer? @ninaesb

Answer 7

yeah , im guessing from that .

Answer 8

@mikurout can u check and make sure?

Answer 9

@shahlove
Area of circle = pi*r^2 = 49pi
for 2*pi*r of circumference we have area = 49pi
so 153.93 which is 49pi = 2(pi)r
so from this find what will be it for area of 38.485

Answer 10

thats exaktly what i had , just in different words .

Answer 11

@shahlove @ninaesb The answer is 10.99ft

Answer 12

thanks @mikurout

Answer 13

thanks @ninaesb

Answer 14

no problem :)