The area of the patch on which Derrick is growing vegetables is equal to 804.25 m².
Given to us
Derrick grows vegetables on a circular patch of land.
The radius of the patch is 16 meters.
We know that the area on which Derrick is growing vegetables is circular in shape, therefore, the area of which Derrick is growing vegetables is equal to the area of the circle,
Area of the patch of land = Area of circle = πR²
As the radius of the patch land is given,
Area of circle = π x 16² = 804.2477 m² ≈804.25 m²
Hence, the area of the patch on which Derrick is growing vegetables is equal to 804.25 m².
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