What is the formula for the area of a sector in radians?

$$A = \frac{1}{2}r^2\theta$$ where A is area, r is radius, and θ is the angle in radians.

What is the arc length of a circle with a radius of 10cm and a central angle of $$\frac{\pi}{4}$$ radians?

$$\frac{10\pi}{4} = 2.5\pi cm$$

Math 3 Unit 6 Lesson 5 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Convert 100° to radians.

Back

$\frac{5\pi}{9}$

2.

FLASHCARD QUESTION

Front

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

Back

3 radian

3.

FLASHCARD QUESTION

Front

What formula is this? (Arc length when θ is in radians)

Back

Sector Area when θ is in radians

4.

FLASHCARD QUESTION

Front

What is $\frac{2\pi}{3}$ radians in degrees?

Back

$120°$

5.

FLASHCARD QUESTION

Front

Convert each degree measure into radians and each radian measure into degrees.

Back

Answer: c

6.

FLASHCARD QUESTION

Front

What is the formula for converting degrees to radians?

Back

$radians = degrees \times \frac{\pi}{180}$

7.

FLASHCARD QUESTION

Front

What is the formula for converting radians to degrees?

Back

$degrees = radians \times \frac{180}{\pi}$

8.

FLASHCARD QUESTION

Front

What is the relationship between arc length, radius, and central angle in radians?

Back

$s = r\theta$ where s is arc length, r is radius, and θ is the central angle in radians.

10.

FLASHCARD QUESTION

Front

What is the radian measure of a right angle?

Back

$\frac{\pi}{2}$ radians

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