Math / Geometry

QuestionThe radian is an alternative unit to the degree for angle measurement. True False

Studdy Solution

STEP 1

1. Understanding of angle measurement units.
2. Knowledge of radians and degrees as units of angle measurement.

STEP 2

1. Define the radian.
2. Compare radians and degrees.
3. Determine the truth value of the statement.

STEP 3

A radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. It is a unit of angular measure used in many areas of mathematics.

STEP 4

Degrees and radians are both units used to measure angles. One complete revolution around a circle is $360$ degrees or $2\pi$ radians. Therefore, these two units are alternative ways to express the same measurement.

STEP 5

Based on the definitions and comparison, the statement "The radian is an alternative unit to the degree for angle measurement" is:
True
The statement is:
$\boxed{\text{True}}$

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QuestionThe radian is an alternative unit to the degree for angle measurement. True False

Studdy Solution

STEP 1

1. Understanding of angle measurement units.
2. Knowledge of radians and degrees as units of angle measurement.

STEP 2

1. Define the radian.
2. Compare radians and degrees.
3. Determine the truth value of the statement.

STEP 3

A radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. It is a unit of angular measure used in many areas of mathematics.

STEP 4

Degrees and radians are both units used to measure angles. One complete revolution around a circle is $360$ degrees or $2\pi$ radians. Therefore, these two units are alternative ways to express the same measurement.

STEP 5

Based on the definitions and comparison, the statement "The radian is an alternative unit to the degree for angle measurement" is:
True
The statement is:
$\boxed{\text{True}}$

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QuestionThe radian is an alternative unit to the degree for angle measurement. True False

Studdy Solution

STEP 1

1. Understanding of angle measurement units.2. Knowledge of radians and degrees as units of angle measurement.

STEP 2

1. Define the radian.2. Compare radians and degrees.3. Determine the truth value of the statement.

STEP 3

A radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. It is a unit of angular measure used in many areas of mathematics.

STEP 4

Degrees and radians are both units used to measure angles. One complete revolution around a circle is 360 360 360 degrees or 2π 2\pi 2π radians. Therefore, these two units are alternative ways to express the same measurement.

STEP 5

Based on the definitions and comparison, the statement "The radian is an alternative unit to the degree for angle measurement" is:True The statement is:True \boxed{\text{True}} True​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Understanding of angle measurement units.
2. Knowledge of radians and degrees as units of angle measurement.

1. Define the radian.
2. Compare radians and degrees.
3. Determine the truth value of the statement.

Degrees and radians are both units used to measure angles. One complete revolution around a circle is $360$ degrees or $2\pi$ radians. Therefore, these two units are alternative ways to express the same measurement.

Based on the definitions and comparison, the statement "The radian is an alternative unit to the degree for angle measurement" is:
True
The statement is:
$\boxed{\text{True}}$