The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.
Area of a circle
area = πr²
where
The area of the shaded portion is the difference of the area of the large and small circle.
Therefore,
area of the large circle = πr²
area of the large circle = 3.14 × 24²
area of the large circle = 3.14 × 576
area of the large circle = 1808.64 m²
Therefore,
area of the small circle = 3.14 × 6²
area of the small circle = 3.14 × 36
area of the small circle = 113.04 m²
The area of the shaded region = 1808.64 - 113.04 = 1695.6 m²
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