Point O is the center of the given circle. What is the measure of YZ?
2 answers:
Answer:
Step-by-step explanation:
Please refer the diagram I have attached.
Alright, lets get started.
As O is the center, OX and OY will be same because both are radius.
So, the angle OYX will also be 54 degrees.
In triangle OYZ, the angle OYZ =
As OY and OZ are same because both will be radius.
Angle YZO will also be 36 degree.
the sum of all three angles will be 180, so
Angle YOZ =
Hence the measure of arc YZ will be 108.
Hope it will help :)
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Refer to the figure given below while reading the solution.
Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.
And then position B when traveled 5 m towards the right turning 90°.
We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).
Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).
Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.
- The shortest distance of B from PQ = AC-AD
- The shortest distance of B from SR = 44-(AC-AD)
- The shortest distance of B from SP = AC+AD
- The shortest distance of B from RQ = 44-(AC+AD)
So, the average of the shortest distances of B from each side is
Hence, the average of the shortest distance of B from each side is 22 m
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