Question

at each corner of a square park with side equal to 40m there is a flower bed in the from of a sector of a radius 14m. what is the area of the remaining part of the park.

Answer 1

Side of square park = 40m

Area of park = 40^2 = 1600 m^2
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Flower beds are there at each corner in the form of sector.

Angle of sector = 90°

Radius = 14m

Area of each sector = 90/360 × π × 14^2 = 154 m^2

There are total 4 sectors in the 4 corners.

Total area of flower beds = 4 × 154 = 616 m^2
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Remaining area of park = 1600 - 616 = 984 m^2

Answer 2

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Side of square park = 40m

Area of park = 40²= 1600 m²

_______________________

Flower beds are there at each corner in the form of sector.

Angle of sector = 90°

Radius = 14m

Area of each sector = 90/360 × π × 14² = 154 m²

There are total 4 sectors in the 4 corners.

Total area of flower beds = 4 × 154 = 616 m²

_______

Remaining area of park = 1600 - 616 = 984 m²