Area in polar coordinates Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/area-in-polar-coordinates/quiz/

1. 1

   Find the area inside r = 3.
   1. A) A ≈ 28.27
   2. B) A ≈ 282.7
   3. C) A ≈ 56.54
   4. D) 18π

2. 2

   Find the area inside r = 6sin θ.

   Answer: ____________________

3. 3

   Find the area inside r = 2cos θ.
   1. A) A ≈ 31.4
   2. B) 2π
   3. C) A ≈ 3.14
   4. D) A ≈ 6.28

4. 4

   Find the area inside r = 5.

   Answer: ____________________

5. 5

   Find the area inside r = 1 + cos θ.
   1. A) A ≈ 4.71
   2. B) A ≈ 9.42
   3. C) A ≈ 4710
   4. D) 3π

6. 6

   Find the area of one petal of r = 3sin(2θ).

   Answer: ____________________

7. 7

   Find the area of one petal of r = 2cos(2θ).
   1. A) A ≈ 1570
   2. B) π
   3. C) A ≈ 1.57
   4. D) A ≈ 3.14

8. 8

   Find the area inside r = 2 + sin θ.

   Answer: ____________________

9. 9

   Find the area of one petal of r = 4sin(3θ).
   1. A) A ≈ 41.9
   2. B) A ≈ 4.19
   3. C) A ≈ 4190
   4. D) A ≈ 8.38

10. 10

    Find the area inside r = 4 + 2sin θ.

    Answer: ____________________