Prove that in general (x + a) 2 ≠ x2 + a2
1 answer:
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Answer:
1)Area of circle: 64
2)Area of semicircles: 128
3)Area of quarter-circles: 128
4)Total area of pattern: 320
Step-by-step explanation:
r = 8cm
Given: 1 circle, 4 semicircles, and 8 quarter-circles.
Area of a circle:
1) A = where r = 8
A = 64
2) 4 semicircles = 2 circles
so the answer is 2*A = 128
3) 8 quarter-circles = 2 circles
Therefore, the answer here is the same as the answer for #2!
4)There are 5 circles total because:
1 circle = 1 circle
4 semicircles divided by 2 = 2 circles (because times 4)
8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles
So ... 1 + 2 + 2 = 5 circles
Now we need to find the area of 5 circles which is just 5*A
5*A = 320