# The angle subtended at the center of the circle by an arc 1 m long. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter C, Problem 7E
To determine

## To find: The angle subtended at the center of the circle by an arc 1 m long.

Expert Solution

The angle subtended at the center of the circle by an arc 1 m long is (120π)°.

### Explanation of Solution

The length of the circular disc is a=rθ where the radius r and θ is the central angle.

Here, it is given that a=1 m and r=1.5 m.

Substitute the value a=1 m and r=1.5 m in the formula a=rθ.

θ=ar=11.5=23(180π)=(120π)°

Thus, the angle subtended at the center of the circle by an arc 1 m long is (120π)°.

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