6) Find the area of the region R that lies inside the circle r= 4(sin 0) and outside the cirele r – 2.

Q: Find the area of the region shared by the cardiods r=12(1+cosθ) and r=12(1-cosθ)

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Q: Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: lculate the area of the region inside the cardioid r = a(1+ sin 0) outside the r = a sin 0 circle…

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Q: Find the area of the region common to the circle r = 3 cos 0, and r = 1 + cos 0. Sketch the region.

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Q: 4. Write down the name of the curves and shade the region that is inside of r = 2 + 2 sine and…

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Q: Calculate the area of the circle r = 3 sin θ bounded by the rays θ = π/3 and θ = 2π/3.

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Q: Find the area of the region shared by the circles r=1& r=sin 2ø

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Q: 7) Find the area inside the circle r = 6 sin e and outside r = 2+ 2 sin 0. %3D

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Q: c) Find the curve length of the lemniscate of the area Inside the lemniscate r² = 6 cos 20 and…

A: Solution:-

Q: Find the area of the region inside the circle r=-4cos(theta) and outside the circle r=2.

A: Given the region inside the circle r=-4cosθ and outside the circle r=2.   To determine the are of…

Q: 3. Find the area of the cardioids region shared by ri 7(1- sin 0) and r2 = 7(1+sin 0). A 7(1 Sint) B…

A: The given curves are:  r1=71-sinθr2=71+sinθ To find the intersecting points,…

Q: 4) Find the area of region that is inside the cardioid r = a(1+sin 0), outside the circle r = a sin…

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Q: find the total length of the circle r = 2a cos 0 for a > 0?

A: Recall the below fact.