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If a circle has a radius of 3 cm, what is the length of an arc that subtends a c
Practice Questions
Q1
If a circle has a radius of 3 cm, what is the length of an arc that subtends a central angle of 120 degrees?
2π cm
π cm
6π/3 cm
4π/3 cm
Questions & Step-by-Step Solutions
If a circle has a radius of 3 cm, what is the length of an arc that subtends a central angle of 120 degrees?
Steps
Concepts
Arc Length Calculation
– The formula for calculating the length of an arc based on the radius and the central angle in degrees.
Understanding Central Angles
– The relationship between the central angle and the fraction of the circle it represents.
Proportional Relationships
– Using proportions to relate the angle to the total degrees in a circle (360 degrees).
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