Arc length, sector area and perimeter as a part of the circle Quiz
10 questions · easy to harder · Geometry · score and step-by-step answers
How it works
- 10 questions, about 20 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
Sector radius 6 cm, angle 60°, find the arc length- A) 62.8 cm
- B) 360 cm
- C) 6 cm
- D) 6.28 cm
2 Question 2
Sector radius 5 cm, angle 72°, find the areaType the answer.
3 Question 3
Sector radius 10 cm, angle 36°, find the arc length- A) 10 cm
- B) 6.28 cm
- C) 62.8 cm
- D) 360 cm
4 Question 4
Sector radius 8 cm, angle 45°, find the areaType the answer.
5 Question 5
Sector radius 9 cm, angle 40°, find the arc length- A) 9 cm
- B) 6.28 cm
- C) 62.8 cm
- D) 360 cm
6 Question 6
Sector radius 6 cm, angle 90°, find the perimeterType the answer.
7 Question 7
Sector radius 4 cm, angle 135°, find the area- A) 188.5 cm²
- B) 1.885 cm²
- C) 18.85 cm²
8 Question 8
Sector radius 6, area 12π, find the angleType the answer.
9 Question 9
Sector radius 9, arc length 3π, find the angleType the answer.
10 Question 10
Sector radius 15 cm, angle 240°, find the perimeterType the answer.