Solve problems relating to intersection of polar curves

The total arc length of cardioids r = 1- cos and r = 1- sin is 8 and 16 respectively if 0 ≤θ≤2π.

The length of above cardioid for 0 ≤θ≤2π is 8 then Find length of cardioid where 0 ≤θ≤π/4 , 

Find the total length of cardioid r = a (1 + cos(θ)), where . Also sketch the graph.

Determine the arc length of on interval (0, 2pi)

Which of the following integrals represents the length of polar curve

Calculate the length of the polar curve r = 3, as θ ranges from 0 to 2π.

Intersection point of r = 2.5 sin (θ) and r = sin (2θ) is

Which of the following is true about the intersection point of the polar curves r = 3 cos (θ) and r= 3?

what is corect about intersection point of polar curves r = 2 and r = 2 cos (θ) 

Points of intersection of polar curves r = 4 and r = 8 sin (θ) are (4, π/6) and (4, 5π/6).

Number of Points of intersection of r = cos (2θ) and r = sin (θ) is are

If sin θ = ½, then which of the following statements are correct about intersection points in  ? Use knowledge of intersection of curves.

Solve the following equations & determine all points of intersections :

Find the points of intersection of following :

r = 2; r = 2 cos θ  where 0 ≤ θ ≤ 2π

Determine the point of intersection of following polar curves:

r = 3 + 3 sin θ

r = 3 – 3 cos θ

       where 0 ≤ θ ≤ 2π