
Calculating Arc Lengths in Circles

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary difference between the formulas for arc length and sector area?
Arc length uses the circumference, while sector area uses the area of the circle.
Arc length and sector area formulas are identical.
Sector area calculation requires the diameter, not the radius.
Arc length is calculated using the diameter instead of the radius.
Tags
CCSS.HSG.C.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What simplification can be made when both the numerator and denominator are even numbers?
Multiply both by π.
Add 360 to both.
Subtract the smaller number from the larger one.
Divide both by 2.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical operation is commonly used to simplify the arc length formula?
Trigonometric substitution
Logarithmic scaling
Factoring
Cross multiplication
Tags
CCSS.HSG.C.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the arc length when given the radius and the central angle?
Multiply the diameter by the central angle.
Square the radius and multiply by π and the central angle.
Divide the central angle by 360 and multiply by 2πr.
Multiply the radius by the central angle.
Tags
CCSS.HSG.C.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the formula for arc length, what does the angle over 360 represent?
The ratio of the arc's radius to the circle's radius.
The ratio of the arc's diameter to the circle's diameter.
The fraction of the circle's circumference that is the arc.
The fraction of the circle's area covered by the arc.
Tags
CCSS.HSG.C.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What unit of measurement is used for arc length if not specified?
Centimeters
Meters
Inches
The same unit as the radius.
Tags
CCSS.2.MD.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the radius found when the arc length and central angle are known?
Divide arc length by 2π times the central angle.
Divide arc length by 2π and then by the central angle.
Multiply arc length by central angle.
Multiply arc length by 360 and divide by 2π times the central angle.
Tags
CCSS.HSG.C.B.5
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