THS Q5 Trig Linear and Angular Speed

THS Q5 Trig Linear and Angular Speed

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.A.1, 7.G.B.4, HSG.C.B.5

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the conversion of 45 degrees to radians?

Back

π/4

Tags

CCSS.HSF.TF.A.1

2.

FLASHCARD QUESTION

Front

Convert 7π/4 radians to degrees.

Back

315°

Tags

CCSS.HSF.TF.A.1

3.

FLASHCARD QUESTION

Front

What is the formula for the area of a sector?

Back

Area = (θ/360) * π * r², where θ is the central angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

4.

FLASHCARD QUESTION

Front

Calculate the area of a sector with a central angle of 140° and radius of 8 cm.

Back

224π/9 cm² or ≈ 78.2 cm²

Tags

CCSS.HSG.C.B.5

5.

FLASHCARD QUESTION

Front

What is the formula for linear speed?

Back

Linear Speed = Radius * Angular Speed (in radians per second).

6.

FLASHCARD QUESTION

Front

A car tire has a diameter of 14 inches and spins at 10 revolutions per second. What is the linear speed?

Back

140π in/s

7.

FLASHCARD QUESTION

Front

What is the relationship between linear speed and angular speed?

Back

Linear Speed = Radius * Angular Speed.

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