Arc length and sector area Quiz
10 questions · easy to harder · Trigonometry · 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.
- 4 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
Arc length radius 6, angle 2π/3- A) s ≈ 6
- B) s ≈ 12.57
- C) s ≈ 125.7
- D) s ≈ 1.257
2 Question 2
Arc length radius 9, angle π/3Type the answer.
3 Question 3
Sector area radius 6, angle π/4- A) A ≈ 6
- B) A ≈ 141.4
- C) A ≈ 1.414
- D) A ≈ 14.14
4 Question 4
Sector area radius 2, angle 3 radiansType the answer.
5 Question 5
Arc length radius 12 m, angle 150°Type the answer.
6 Question 6
Arc length radius 15 cm, angle 40°Type the answer.
7 Question 7
Sector area radius 8 cm, angle 45°- A) A ≈ 251.3 cm2
- B) A ≈ 2.513 cm2
- C) A ≈ 45 cm2
- D) A ≈ 25.13 cm2
8 Question 8
Arc length radius 7, angle 5π/6Type the answer.
9 Question 9
Sector area radius 5, angle 7π/4- A) A ≈ 68.72
- B) A ≈ 6.872
- C) A ≈ 687.2
- D) A ≈ 5
10 Question 10
Sector area radius 12, angle 5π/6Type the answer.