What is the definition of a radian?

A radian is the angle subtended at the center of a circle by an arc equal in length to the radius.

How do you convert degrees to radians?

Multiply degrees by $$\frac{\pi}{180}$$ .

What is the formula for linear speed?

Linear speed = $$\frac{s}{t}$$ , where 's' is the arc length and 't' is the time.

What is the relationship between linear speed and angular speed?

Linear speed = radius × angular speed.

What is the formula for the circumference of a circle?

Circumference = $$2\pi r$$ , where 'r' is the radius.

What is the definition of a central angle?

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii.

What is the formula for the area of a triangle?

Area = $$\frac{1}{2} \times base \times height$$ .

What is the Pythagorean theorem?

In a right triangle, $$a^2 + b^2 = c^2$$ , where 'c' is the hypotenuse and 'a' and 'b' are the other two sides.

8.1 & 6.1 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

Arc length is the distance along the curved line of a circle, where 'r' is the radius and 'θ' is the angle in radians.

Tags

CCSS.HSG.C.B.5

2.

FLASHCARD QUESTION

Front

What are the units for angular speed?

Back

Angular speed is measured in radians per unit of time.

3.

FLASHCARD QUESTION

Front

An angle is in standard position if the initial side is along the _______?

Back

The positive x-axis.

Tags

CCSS.8.G.A.5

4.

FLASHCARD QUESTION

Front

What is the side across from the right angle called?

Back

Hypotenuse.

5.

FLASHCARD QUESTION

Front

Back

60°.

Tags

CCSS.HSF.TF.A.1

6.

FLASHCARD QUESTION

Front

What is the relationship between degrees and radians?

Back

Tags

CCSS.HSF.TF.A.1

7.

FLASHCARD QUESTION

Front

What is the formula for the area of a sector?

Back

Tags

CCSS.HSG.C.B.5

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