Answer:
26π square units
Explanation:
You want the shaded area of the figure shown.
Quarter circle
Each quarter-circle has an area of ...
A = 1/4πr²
There are quarter-circles with radii 1, 1, 2, 3, 5, and 8 units.
The area is π/4 times the sum of the squares of these values:
(π/4)(1² +1² +2² +3² +5² +8²) = 26π
The area of this portion of a Fibonacci spiral is 26π square units.
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