FP2 Polar help
Find the area bounded by the curves r=a(1+costheta) and r=3acostheta and the initial line theta=0.
I've tried integrating between 0 and pi/3 for 1/2 r2 for curve 1 and pi/3 to pi/2 for curve 2 and then adding the areas together. Is this the correct method as it doesn't seem to give me the right answer?
I've tried integrating between 0 and pi/3 for 1/2 r2 for curve 1 and pi/3 to pi/2 for curve 2 and then adding the areas together. Is this the correct method as it doesn't seem to give me the right answer?
(edited 9 years ago)
Original post by bobbricks
Find the area bounded by the curves r=a(1+costheta) and r=3acostheta and the initial line theta=0.
I've tried integrating between 0 and pi/3 for 1/2 r2 for curve 1 and pi/2 to pi/3 for curve 2 and then adding the areas together. Is this the correct method as it doesn't seem to give me the right answer?
I've tried integrating between 0 and pi/3 for 1/2 r2 for curve 1 and pi/2 to pi/3 for curve 2 and then adding the areas together. Is this the correct method as it doesn't seem to give me the right answer?
0 to pi/3 for curve 1
and then
pi/3 to pi/2 for curve 2.
Original post by BabyMaths
0 to pi/3 for curve 1
and then
pi/3 to pi/2 for curve 2.
and then
pi/3 to pi/2 for curve 2.
Ah, sorry, that's what I meant to say
Original post by bobbricks
I get ½a²(½π+9root3/8) for the first curve and 15πa²/8 -9a²root3/16 for the second one
See your other thread to see how to check these using WolframAlpha.
If when you check you find that you have in fact got this wrong then post some working.
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