If you were to increase the earths diameter by one metre, how much would the earths circumference increase by? Please explain working out....
2007-02-24 22:12:23 · 10 answers · asked by Rod Stewart 5 in Science & Mathematics ➔ Mathematics
First answerer nearly right. Correct answer is pi metres. Diameter is increased by 1 m, not the radius.
2007-02-24 22:21:56 · answer #1 · answered by Pete WG 4 · 0⤊ 0⤋
Diameter increased by 1 m means
d -> d+1
firstly, the earth's circumference is = 22/7 x d m
However then it will become = 22/7 x (d+1) m
since the d has changed into (d + 1) m
Thus, the change is = 22/7 x (d+1) - 22/7 x d
=22/7 x d + 22/7 - 22/7 x d
=22/7 m
2007-02-24 22:22:23 · answer #2 · answered by angeL 1 · 0⤊ 0⤋
The earth's circumference C = 2 * pi * radius
or since diameter is 2 * radius then C = pi * diameter
Increase diameter by 1 meter then new C = pi * (diameter + 1 meter)
So the increase is pi * (diameter + 1) = pi * diameter
or pi * (1)
So the answer is pi meters, which is around 3.14 meters.
2007-02-24 22:21:34 · answer #3 · answered by Anonymous · 0⤊ 0⤋
L=2Ïr
dL=2Ï(r+1/2)-2Ïr=Ï
2007-02-24 22:36:43 · answer #4 · answered by Anonymous · 0⤊ 0⤋
First answers was actually correct, as he adds 0.5 to r, while the second answers is also correct since he adds 1 to d
Basically 1+2 and 2+1 is the same right?
2007-02-24 23:19:05 · answer #5 · answered by Lie Ryan 6 · 0⤊ 0⤋
Hello Rod Stewart. Well it seems that most people have given you the correct answer of pi metres so there's no point in me explaining it again. In any case:-
"I don't wanna...
Talk about it"
2007-02-24 23:45:11 · answer #6 · answered by brainyandy 6 · 0⤊ 0⤋
original circumference= 2(pi)r
increased circum= 2(pi) (r+0.5)
= 2(pi)r + (pi)
therefore the rearth's circumference has increased by (pi)
2007-02-24 22:19:08 · answer #7 · answered by Maths Rocks 4 · 0⤊ 0⤋
Who gives a toss? Are you doing an applied mathematics degree and want to know how to reason? Help me to understand.
2007-02-24 22:52:01 · answer #8 · answered by Piet Pompies 3 · 0⤊ 0⤋
math never spells fun
2007-02-24 22:42:37 · answer #9 · answered by nina p 1 · 0⤊ 0⤋
whats the question?
2007-02-24 23:15:49 · answer #10 · answered by Anonymous · 0⤊ 0⤋