Chapter 6: Q. 122 (page 368)

For a circle of radius r, a central angle of u degrees subtends an arc whose length s is $s = \frac{π}{180} r θ$ . Discuss whether this is a true or false statement. Give reasons to defend your position.

Short Answer

Expert verified

The statement is True.

Step by step solution

Step 1. Given Information

The problem asks if the statement is true or false, "For a circle of radius $r$ , a central angle $θ$ , in degrees subtends an arc, $s$ whose length is equal to $s = \frac{π}{180} r θ$

Step 2. Reason for statement to be True or False

Since from the given formula of the arc length $s = \frac{π}{180} r θ$ , where the central angle $θ$ , is in degree, hence the statement is true . Analyzing, the degree unit will be cancelled out

leaving the unit in radians.

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For a circle of radius r, a central angle of u degrees subtends an arc whose length s is $s = \frac{π}{180} r θ$ . Discuss whether this is a true or false statement. Give reasons to defend your position.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Reason for statement to be True or False

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For a circle of radius r, a central angle of u degrees subtends an arc whose length s iss=π180rθ . Discuss whether this is a true or false statement. Give reasons to defend your position.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Reason for statement to be True or False

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

For a circle of radius r, a central angle of u degrees subtends an arc whose length s is $s = \frac{π}{180} r θ$ . Discuss whether this is a true or false statement. Give reasons to defend your position.