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ollegr [7]
2 years ago
7

Here is the question. 100 points plz help

Mathematics
2 answers:
swat322 years ago
8 0

Answer:

The area of the shaded region is the quarter circle minus the isosceles right triangle. The area of quarter-circle is pi*r^2/4=pi*8^2/4=16pi. The area of triangle is 8*8/2=32, so the area is 16pi-32.

The perimeter of the shaded region is the length of arc plus the segment. The length of arc is pi*2r/4=pi*16/4=4pi, and the length of the segment is 8*\sqrt(2) according to pythagorean's theorem. The total perimeter is 4pi+8*\sqrt(2).

Step-by-step explanation:


pochemuha2 years ago
7 0
The area of the shaded region is the quarter circle minus the isosceles right triangle. The area of quarter-circle is pi*r^2/4=pi*8^2/4=16pi. The area of triangle is 8*8/2=32, so the area is 16pi-32.
The perimeter of the shaded region is the length of arc plus the segment. The length of arc is pi*2r/4=pi*16/4=4pi, and the length of the segment is 8*\sqrt(2) according to pythagorean's theorem. The total perimeter is 4pi+8*\sqrt(2).
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