The **arc of a circle** is a portion of the circumference of a **circle**.

Image showing arc AB

The **arc of a circle** is a portion of the circumference of a **circle**. Measure an **arc** by two methods: 1) the measure of the central angle or Central arc in degrees 2) the length of the **arc** itself or central angle in radians

A practical way to determine the length of an **arc** **in a** **circle **is to plot two lines from the **arc’s** endpoints to the center of the **circle**, measure the angle where the two lines meet the center, then solve for L by cross-multiplying the statement:

OA = OB = R, AB = Length of the arc

**Central angle in degrees:**

measure of angle in degrees/360° = L/circumference.

Length of the arc = 2πR(^{C}/_{360˚})

**Central angle in radians:**

Circumference of the circle = 2πR ;

π ≈ 3.142

C = Central angle = ∠AOB

Length of the arc = RC

Note: The 2π/360 converts the degrees to radians.

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