How to work this out? In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining t
he endpoints of the arc cut off by the angle?
2 answers:
Answer:
The length of segment joining the endpoints of the arc is
Step-by-step explanation:
we know that
In the triangle ABC
see the attached figure to better understand the problem
-----> is the radius of the circle
----> given problem (central angle)
Initially the triangle ABC is an isosceles triangle
Remember that
the sum of the internal angles of triangle must be equal to
For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to
The equilateral triangle has three equal sides and tree equal angles
so
Hence
The length of segment joining the endpoints of the arc is
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Answer:
The inequality that represents the age of the group, "x", is:
Step-by-step explanation:
To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:
While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:
In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have: