Answer:
= 72*pi
If we approximate pi
= 226.08
Step-by-step explanation:
The area of the entire circle is
A = pi * r^2
where r = 24
A = pi * 24^2
A = pi *576
45 degrees is part of a 360 degree circle
45/360 =1/8
Multiply the area by 1/8 since it is 1/8 of the circle
1/8 A = 1/8 * 576pi
= 72*pi
If we approximate pi
= 226.08
The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600
D
C
Sorry if both aren't correct, it's been a while since i did this...
