A line segment is part of a line, true or false?
2 answers:
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Answer: The complete question is "A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 20^\circ20 ∘ 20, degrees. What is the length of the arc?"
The length of the arc is 1.06667 units.
Step-by-step explanation:
According to the question the radius of the circle and central angle of arc is
As we know that the length of the arc is given as:
Where R is radius of the circle, L is the length of the arc and is central angle in radian.
Now,
Therefore, length of the arc is
Given:
Consider the below figure attached with this question.
To find:
The measure of angle r by using the cosine rule.
Solution:
According to Law of Cosine,
Using the Law of Cosine, we get
On further simplification, we get
Therefore, the measure of angle r is 106.78 degrees.
