Question

what is dangerous about living for 7 days
on just one can of sardines?
find the area of each circle. use 3.14 for π. find your answer in
the appropriate answer column. write the letter of the answer in
the space containing the number of the exercise. if the answer
has a , shade in the space instead of writing a letter in it.
answers 1 - 9:
p 214.14 ft²
a 54.84 in.²
u 19.625 cm²
b 361.14 m²
i 28.26 cm²
g 7.850 in.²
l 314 m²
c 5.1016 km²
f 254.34 ft²
o 379.94 m²
t 50.24 in.²
a 18.485 cm²
r 12.56 cm²
p 6.430 in.²
answers 10 - 18:
p 1.416 m²
o 78.5 cm²
u 36.815 cm²
d 7.065 m²
h 0.2826 km²
n 108.74 in.²
m 1.256 m²
t 153.86 in.²
s 211.36 ft²
l 38.465 cm²
f 3.14 cm²
y 200.96 ft²
0.3416 km²
8.415 m²
r 113.04 in.²

Explanation:

Step1: Calculate the area of the circle with radius \(r = 3\) cm

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 3\) cm and \(\pi=3.14\) into the formula:
\(A = 3.14\times3^{2}=3.14\times9 = 28.26\) \(cm^{2}\)

Step2: Calculate the area of the circle with radius \(r = 4\) in

Using the formula \(A=\pi r^{2}\), substitute \(r = 4\) in and \(\pi = 3.14\):
\(A=3.14\times4^{2}=3.14\times16 = 50.24\) \(in^{2}\)

Step3: Calculate the area of the circle with radius \(r = 10\) m

Using the formula \(A=\pi r^{2}\), substitute \(r = 10\) m and \(\pi=3.14\):
\(A = 3.14\times10^{2}=3.14\times100=314\) \(m^{2}\)

Step4: Calculate the area of the circle with radius \(r = 2\) cm

Using the formula \(A=\pi r^{2}\), substitute \(r = 2\) cm and \(\pi = 3.14\):
\(A=3.14\times2^{2}=3.14\times4 = 12.56\) \(cm^{2}\)

Step5: Calculate the area of the circle with radius \(r = 9\) ft

Using the formula \(A=\pi r^{2}\), substitute \(r = 9\) ft and \(\pi=3.14\):
\(A=3.14\times9^{2}=3.14\times81 = 254.34\) \(ft^{2}\)

Step6: Calculate the area of the circle with radius \(r = 1.2\) km

Using the formula \(A=\pi r^{2}\), substitute \(r = 1.2\) km and \(\pi=3.14\):
\(A=3.14\times(1.2)^{2}=3.14\times1.44 = 4.5216\) \(km^{2}\)

Step7: Calculate the area of the circle with radius \(r = 50\) in

Using the formula \(A=\pi r^{2}\), substitute \(r = 50\) in and \(\pi=3.14\):
\(A=3.14\times50^{2}=3.14\times2500 = 7850\) \(in^{2}\)

Step8: Calculate the area of the circle with radius \(r = 11\) m

Using the formula \(A=\pi r^{2}\), substitute \(r = 11\) m and \(\pi=3.14\):
\(A=3.14\times11^{2}=3.14\times121 = 379.94\) \(m^{2}\)

Step9: Calculate the area of the circle with radius \(r = 2.5\) cm

Using the formula \(A=\pi r^{2}\), substitute \(r = 2.5\) cm and \(\pi=3.14\):
\(A=3.14\times(2.5)^{2}=3.14\times6.25 = 19.625\) \(cm^{2}\)

Step10: Calculate the area of the circle with diameter \(d = 14\) in

First, find the radius \(r=\frac{d}{2}=\frac{14}{2}=7\) in. Then use the formula \(A=\pi r^{2}\), substitute \(r = 7\) in and \(\pi=3.14\):
\(A=3.14\times7^{2}=3.14\times49 = 153.86\) \(in^{2}\)

Step11: Calculate the area of the circle with diameter \(d = 10\) cm

First, find the radius \(r=\frac{d}{2}=\frac{10}{2}=5\) cm. Then use the formula \(A=\pi r^{2}\), substitute \(r = 5\) cm and \(\pi=3.14\):
\(A=3.14\times5^{2}=3.14\times25 = 78.5\) \(cm^{2}\)

Step12: Calculate the area of the circle with diameter \(d = 3\) m

First, find the radius \(r=\frac{d}{2}=\frac{3}{2}=1.5\) m. Then use the formula \(A=\pi r^{2}\), substitute \(r = 1.5\) m and \(\pi=3.14\):
\(A=3.14\times(1.5)^{2}=3.14\times2.25 = 7.065\) \(m^{2}\)

Step13: Calculate the area of the circle with diameter \(d = 16\) ft

First, find the radius \(r=\frac{d}{2}=\frac{16}{2}=8\) ft. Then use the formula \(A=\pi r^{2}\), substitute \(r = 8\) ft and \(\pi=3.14\):
\(A=3.14\times8^{2}=3.14\times64 = 200.96\) \(ft^{2}\)

Step14: Calculate the area of the circle with diameter \(d = 40\) m

First, find the radius \(r=\frac{d}{2}=\frac{40}{2}=20\) m. Then use the formula \(A=\pi r^{2}\), substitute \(r = 20\) m and \(\pi=3.14\):
\(A=3.14\times20^{2}=3.14\times400 = 1256\) \(m^{2}\)

Step15: Calculate the area of the circle with diameter \(d = 12\) in

First, find the radius \(r=\frac{d}{2}=\frac{12}{2}=6\) in. Then use the formula \(A=\pi r^{2}\), substitute \(r = 6\) in and \(\pi=3.14\):
\(A=3.14\times6^{2}=3.14\times36 = 113.04\) \(in^{2}\)

Step16: Calculate the area of the circle with diameter \(d = 7\) cm

First, find the radius \(r=\frac{d}{2}=\frac{7}{2}=3.5\) cm. Then use the formula \(A=\pi r^{2}\), substitute \(r = 3.5\) cm and \(\pi=3.14\):
\(A=3.14\times(3.5)^{2}=3.14\times12.25 = 38.465\) \(cm^{2}\)

Step17: Calculate the area of the circle with diameter \(d = 0.6\) km

First, find the radius \(r=\frac{d}{2}=\frac{0.6}{2}=0.3\) km. Then use the formula \(A=\pi r^{2}\), substitute \(r = 0.3\) km and \(\pi=3.14\):
\(A=3.14\times(0.3)^{2}=3.14\times0.09 = 0.2826\) \(km^{2}\)

Step18: Calculate the area of the circle with diameter \(d = 2\) cm

First, find the radius \(r=\frac{d}{2}=\frac{2}{2}=1\) cm. Then use the formula \(A=\pi r^{2}\), substitute \(r = 1\) cm and \(\pi=3.14\):
\(A=3.14\times1^{2}=3.14\times1 = 3.14\) \(cm^{2}\)

Answer:

1. \(28.26\) \(cm^{2}\)
2. \(50.24\) \(in^{2}\)
3. \(314\) \(m^{2}\)
4. \(12.56\) \(cm^{2}\)
5. \(254.34\) \(ft^{2}\)
6. \(4.5216\) \(km^{2}\)
7. \(7850\) \(in^{2}\)
8. \(379.94\) \(m^{2}\)
9. \(19.625\) \(cm^{2}\)
10. \(153.86\) \(in^{2}\)
11. \(78.5\) \(cm^{2}\)
12. \(7.065\) \(m^{2}\)
13. \(200.96\) \(ft^{2}\)
14. \(1256\) \(m^{2}\)
15. \(113.04\) \(in^{2}\)
16. \(38.465\) \(cm^{2}\)
17. \(0.2826\) \(km^{2}\)
18. \(3.14\) \(cm^{2}\)