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Mathematics 19 Online
m4nt1c0r3:

The beam from a lighthouse is visible for a distance of 15 mi. To the nearest square mile, what is the area covered by the beam as it sweeps in an arc of 270°?

Jaydaking:

18

m4nt1c0r3:

How is it 18?

Jaydaking:

i meant to say 56π\9

crispyrat:

|dw:1622572115976:dw| ok so to find the area of an arc you would do arc ngle/360*pi*r^2 which is 270/360*3.14*15^2

m4nt1c0r3:

So would that be 530. 14, rounded to 530 mile^2? Correct?

TyDaGreatest:

Yep that would be tight

TyDaGreatest:

*right

m4nt1c0r3:

Thanks :)

TyDaGreatest:

np

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