Find the length of an arc of a circle with a radius of 3 cm if its degree measure is 150.
| January 31, 2021 | education
In order to find the length of the arc, you must first find the circumference by the formula:
C = 2πR = 2 * 3.14 * 3 cm = 18.84 cm.
Now, to find the length of the arc, knowing the degree measure, we use the proportion with degree measures and lengths:
150о / 360о = x / 18.84
x = (150 * 18.84) / 360 = 2 826/360 = 7.85 cm.
Answer: 7.85 cm.
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