# The length of an arc of a circle. ### 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 T, Problem 3DDT
To determine

## To find: The length of an arc of a circle.

Expert Solution

The length of an arc of a circle is 2πcm.

### Explanation of Solution

Given:

The radius of the circle is 12 cm.

The subtends of a central angle is 30°.

Formula used:

The arc length is arclength=2πR(C360).

Where, C is the central angle of the arc in degrees, R is the radius of the arc.

Calculation:

Use the above mentioned formula and find the value of arc length of the circle as follows,

Substitute R=12,C=30° in arclength=2πR(C360),

arclength=2π×12(30360)=24π(112)=2π

Thus, the length of an arc of a circle is 2πcm.

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