at a certain time of day a person 6 ft tall cast a 4 ft shadow how long is the shadow cast by ba 21 ft tree at the same time?
1 answer:
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Answer and Step-by-step explanation:
Ok, it's basically just parts of a circle circumference and area equation. Let's start first by writing down both equations.
C = 2πr
C = πd
A = π
Now, all we have to do is plug in the values into those equations!
4. C = 2π(12) A = π()
r = 12
d = 24 <---- (12 times 2 equals 24)
C = 24π
A = 144π <---- (12 times 12 (itself) equals 144)
5. C = π4.8 A = π()
r = 2.4 <------- (4.8 divided by 2 equals 2.4)
d = 4.8
C = 4.8π
A = 23.04π <------- (4.8 times 4.8 equals 23.04)
6. 20π = 2πr A = π
r = 10 <------- (20π divided by π and divided by 2)
d = 20 <------- (20π divided by π)
C = 20π
A = 100π <------- (10 times 10 equals 100)
7. C = 2πr 81π = π
r = 9 <------- (81π divided by π and square rooted equals 9)
d = 18 <------- (9 times 2 equals 18)
C = 18π <------- (2 times 9 equals 18, times π)
A = 81π
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