11.2 Converting Radians and Degrees

11.2 Converting Radians and Degrees

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Mathematics

9th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 1 radian is equal to approximately 57.3 degrees. To convert degrees to radians, use the formula: radians = degrees × (π/180).

2.

FLASHCARD

Front

How do you calculate the length of an arc in a circle?

Back

The length of an arc (L) can be calculated using the formula: L = rθ, where r is the radius and θ is the angle in radians.

3.

FLASHCARD

Front

What is the formula to convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians × (180/π).

4.

FLASHCARD

Front

What is the value of π in degrees?

Back

π radians is equal to 180 degrees.

5.

FLASHCARD

Front

Convert 90° to radians.

Back

6.

FLASHCARD

Front

Convert 180° to radians.

Back

7.

FLASHCARD

Front

Convert 360° to radians.

Back

8.

FLASHCARD

Front

What is the length of the intercepted arc for a circle with radius 1 unit and angle 1 radian?

Back

The length of the intercepted arc is 1 unit.

9.

FLASHCARD

Front

Convert 285° to radians.

Back

10.

FLASHCARD

Front

Convert -520° to radians.

Back

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