To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Polar Curves Worksheet

Polar Curves Worksheet
  • Page 1
 1.  
Find the area of the region bounded by the graph r2 = 2cos θ and between the rays θ = - π6 and π4.
a.
2+1 square units
b.
2-12 square units
c.
2+12 square units
d.
2+32 square units


Answer: (c)


Correct answer : (3)
 2.  
Find the arc length of the curve r = 1 - sin θ, 0 ≤ θπ2.
a.
22(2-1) units
b.
22(2+1) units
c.
2(2+1) units
d.
2(2-1) units


Answer: (a)


Correct answer : (1)
 3.  
Find the arc length of the curve r = 1 - cos θ, 0 ≤ θ ≤ π.
a.
2 units
b.
8 units
c.
4 units
d.
16 units


Answer: (c)


Correct answer : (3)
 4.  
Find the arc length of the curve r = sec θ, 0 ≤ θπ3.
a.
33 units
b.
36 units
c.
3 units
d.
23 units


Answer: (c)


Correct answer : (3)
 5.  
Find the arc length of the curve r = sin θ + cos θ, 0 ≤ θπ4.
a.
2π2 units
b.
2π8 units
c.
2π units
d.
2π4 units


Answer: (d)


Correct answer : (4)
*AP and SAT are registered trademarks of the College Board.