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Chapter 6: Q. 122 (page 368)

For a circle of radius r, a central angle of u degrees subtends an arc whose length s iss=蟺180r胃 . 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

01

Step 1. Given Information

The problem asks if the statement is true or false, "For a circle of radius r, a central angle 胃, in degrees subtends an arc,swhose length is equal tos=蟺180r胃

02

Step 2. Reason for statement to be True or False

Since from the given formula of the arc lengths=蟺180r胃, where the central angle胃, 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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