BuyFind

Single Variable Calculus: Concepts...

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

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

Answer to Problem 7E

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)°.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!