A spiral formed by semicircles have radii 0.5,1.0,1.5.... respectively.What is the total length of 13 semicircles?
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Circumference of first semicircle = πr = 0.5π
Circumference of second semicircle = πr = 1π = π
Circumference of third semicircle =πr = 1.5π
It is clear that a = 0.5 π, d = 0.5π and n = 13
Hence; length of spiral can be calculated as follows:
sum of n terms
10 arithmetic progression exercise solution
Circumference of second semicircle = πr = 1π = π
Circumference of third semicircle =πr = 1.5π
It is clear that a = 0.5 π, d = 0.5π and n = 13
Hence; length of spiral can be calculated as follows:
sum of n terms
10 arithmetic progression exercise solution
mj7979:
answr this question
√[{x-2}²+{y+3}²]=√[{x+4}²+{y-5}²]
Squaring both sides,
x²-4x+4+y²+6y+9=x²+8x+16+y²-10y+25
So, 12x-16y+28=0
Answered by
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Length of one semicircle = πr
So, length of 13 semicircles is π{0.5}+π{1}+π{1.5}+...+π{6.5}
=π{0.5+1+1.5+...+6.5}
{sum of AP}
=π{0.5+6.5}/2
So, length of 13 semicircles is π{0.5}+π{1}+π{1.5}+...+π{6.5}
=π{0.5+1+1.5+...+6.5}
{sum of AP}
=π{0.5+6.5}/2
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