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Chapter 6: Q. 5 (page 364)

If the radius of a circle is rand the length of the arc subtended by a central angle is also r, then the measure of the angle is 1_______.

Short Answer

Expert verified

The solution is radian .

Step by step solution

01

Step 1. Given information 

Radius of a circle is rand the length of the arc subtended by a central angle is also r.

02

Step 2. Calculation 

For a circle of radius 1, the rays of a central angle with measure 1radian subtend an arc of length 1. For a circle of radius 3the rays of a central angle with measure 1radian subtend an arc of length 3.

So, if radius of a circle is rand the length of the arc subtended by a central angle is also r, then the measure of the angle is 1radian.

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