How to find the perimeter of a sector using arc length formula

How to find the perimeter of a sector using arc length formula

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to find the perimeter of a sector of a disk with a radius of 11 cm and an angle of 10 degrees. It covers the concept of perimeter as the distance around a shape and introduces arc length as a component of the perimeter. The tutorial demonstrates how to convert degrees to radians and calculate the arc length using the formula s = r * θ. Finally, it combines the arc length with the radius to find the total perimeter, rounding the result to the nearest hundredth.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the sector mentioned in the problem?

13 centimeters

11 centimeters

10 centimeters

12 centimeters

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the arc length of a sector?

s = r + θ

s = r - θ

s = r / θ

s = r * θ

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert an angle from degrees to radians?

Multiply by π/180

Multiply by 180/π

Add π/180

Subtract π/180

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate arc length of the sector in centimeters?

2.02

2.12

1.92

1.82

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total perimeter of the sector in centimeters?

22.92

23.02

23.92

24.92