Circular Garden Area Calculation

Very Hard Word Problems Geometry Application

A circular garden has a radius of 10 meters. In the center of this garden, a circular flower bed with a radius of 3 meters will be planted. A path, 2 meters wide, will surround the flower bed but remain within the garden boundary.

What is the area of the remaining garden after the flower bed and the surrounding path have been constructed?

$$ 88 ext{ m}^2 $$

$$ 64 ext{ m}^2 $$

$$ 78 ext{ m}^2 $$

$$ 56 ext{ m}^2 $$

Hint

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