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2 answers:
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Answer:
Part a) The exact area of the sidewalk is
Part b) The approximate area of the sidewalk is
Step-by-step explanation:
we know that
The area of the sidewalk is equal to the area of the outer circle minus the area of the inner circle
Part a) Find the exact area of the sidewalk
Part b) Find the approximate area of the sidewalk
assume
substitute
Answer:
The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°
Step-by-step explanation:
The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:
Substituting by
in the second equation, we have:
The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.
So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P: