It has been estimated that 1000 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 40,000 km2 in 40 days. Assuming that the area covered by the radioactive substance is a linear function of time t and is always circular in shape, express the radius r of the contamination in terms of t.

Question

brinazarski · Answer

I don't even know where to start (except r(t)).... help?

ookawaiioo · Answer

oh, this can be tricky. 

let me work on it hold on

ookawaiioo · Answer

hey can I express (t) time in days?

anonymous · Answer

Yes

anonymous · Answer

1000 meters per second is the answer

ookawaiioo · Answer

lol ill give you an equation and my work.

ookawaiioo · Answer

Radius = 25.23 Km
(t) = days 

By day 40, you will have contaminated 40,000Km squared

anonymous · Answer

LOLOLOLOL this is taking forever.

dumbcow · Answer

Area is linear function...slope = 40,000/40 = 1000
$$A(t) = 1000t = \pi r(t)^{2}$$
$$r(t) = \sqrt{\frac{1000t}{\pi}}$$