Arc Length Formula and Basic Examples
The first page introduces the fundamental concept of arc length and provides the essential formula for its calculation.
Definition: Arc length is a portion of the circumference of a circle.
The page presents the arc length formula:
Highlight: Arc Length = (x/360°) * C, where x is the degree measure of the arc and C is the circumference.
Several examples are provided to illustrate the application of this formula:
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For a circle with a radius of 6 meters and a central angle of 142°, the arc length is calculated to be approximately 14.85 meters.
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In a circle with a radius of 15 inches and a central angle of 288°, the arc length is found to be about 75.40 inches.
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For a circle with a diameter of 8 cm and a central angle of 107°, the arc length is calculated to be approximately 7.47 cm.
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In a circle with a radius of 9.5 feet and a central angle of 38°, the arc length is determined to be about 6.30 feet.
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Given that EB = 15 centimeters and the central angle is 112°, the length of arc CD is calculated to be approximately 29.32 cm.
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With NR = 8 feet and a central angle of 162°, the length of arc NMP is found to be about 22.61 feet.
These examples demonstrate how to apply the arc length formula in various scenarios, reinforcing the concept for students learning how to calculate arc lengths u10l3 step by step.
