Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
16th June, 2023

r² = (r-1)²+(r-2)²

Where r is the radius of the circle.


r² = r²-2r+1+r²-4r+4

r²-6r+5 = 0

r²-r-5r+5 = 0

r(r-1)-5(r-1) = 0

Therefore;

r ≠ 1 unit.

r = 5 units.


r-1

5-1= 4 units.

Where 4 units is half the side length of the square.


It implies;

Square side length is;

4*2 = 8 units.


Area Red Square is;

= 64 square units.

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