Area in polar coordinates Quiz
10 questions · easy to harder · Calculus 2 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Find the area inside r = 3.- A) A ≈ 28.27
- B) A ≈ 282.7
- C) A ≈ 56.54
- D) 18π
2 Question 2
Find the area inside r = 6sin θ.Type the answer.
3 Question 3
Find the area inside r = 2cos θ.- A) A ≈ 31.4
- B) 2π
- C) A ≈ 3.14
- D) A ≈ 6.28
4 Question 4
Find the area inside r = 5.Type the answer.
5 Question 5
Find the area inside r = 1 + cos θ.- A) A ≈ 4.71
- B) A ≈ 9.42
- C) A ≈ 4710
- D) 3π
6 Question 6
Find the area of one petal of r = 3sin(2θ).Type the answer.
7 Question 7
Find the area of one petal of r = 2cos(2θ).- A) A ≈ 1570
- B) π
- C) A ≈ 1.57
- D) A ≈ 3.14
8 Question 8
Find the area inside r = 2 + sin θ.Type the answer.
9 Question 9
Find the area of one petal of r = 4sin(3θ).- A) A ≈ 41.9
- B) A ≈ 4.19
- C) A ≈ 4190
- D) A ≈ 8.38
10 Question 10
Find the area inside r = 4 + 2sin θ.Type the answer.