Find the length of the arc containing 135 ° and the radius which is 12 cm.
| February 4, 2021 | education
Let us assume by default that the value of π will be 3.14.
Let us determine how many centimeters the circumference will be expressed when, from the condition of the task, we know that its radius is twelve centimeters:
3.14 * 2 * 12 = 3.14 * 24 = 75.36.
Determine what part of 360 ° is the angle specified in the condition:
135: 360 = 0.375.
Let us determine how many centimeters the arc length will be expressed, which, according to the task conditions, is based on an angle of 135 °:
75.36 * 0.375 = 28.26.
Answer: 28.26 cm.
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