Geometry Arc Length and Sector Area Quiz: 10 Questions with Explanations

Geometry math quiz: Arc Length and Sector Area – Maths PDF

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This arcs sectors quiz for Geometry covers arc length and sector area (Common Core G-C.B.5), with a free PDF to print.

Test your understanding of arc length and sectors with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-C.B.5

Arcs sectors quiz: 10 questions

Question 1

Arc length = (60/360) of the circumference = (1/6)(2π · 6) = 2π.

The sector has radius 6 and central angle 60 degrees. What is the arc length?

Question 2

What is the area of a sector with radius 4 and central angle 90 degrees?

Question 3

How many radians are in 180 degrees?

Question 4

What is 90 degrees in radians?

Question 5

One radian: the arc has the same length as the radius.

An arc has the same length as the radius. What is the central angle?

Question 6

On a circle of radius 10, an arc has length 25. What is the central angle in radians?

Question 7

A pizza cut into 8 equal slices: each slice is a sector of 45°.

A pizza of radius 8 is cut into 8 equal slices. What is the central angle of one slice?

Question 8

A sector has radius 6 and area 6 pi. What is its central angle?

Question 9

If the radius of a sector doubles and the angle stays the same, the area

Question 10

The length of a 45 degree arc on a circle with radius 16 is

Remember

Arc length = (angle/360) x 2 pi r.
Sector area = (angle/360) x pi r squared.
180 degrees = pi radians.
In radians: arc length s = r times theta, area A = (1/2) r squared theta.
A radian is the central angle whose arc length equals the radius.

How to use this arcs sectors quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the arcs sectors quiz as a PDF with the button below and keep it with your notes.

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