Question

A square park has each side of hundred metre at each corner of the park there is a flower in the form of quadrant of radius 14 m find the area of the remaining part of the park

Answer 1

Area of park = 100*100 = 10000m²

Total quadrants = 4

Area of 1 quadrant = Ф\360*πr²             (where Ф=90°)

=90/360*22/7*14*14

=1/4*22*2*14

=11*14

=154m²

∴Area of 4 quadrants = 4*154 = 616m²

Remaining area = area of square-area of quadrant = 10000-616

=9384m²

Answer 2

Given :

• Side of Square Park = 100m
• Radius of Quadrant = 14m

To Find :

• Area of remaining part.

Solution :

✰ The Area of remaining part will be given by Substraction of Area of Square Park and Area of Quadrant. So we have to find the Area of Square Park and Area of Quadrant separately and then we have to substract the Area of Quadrant from Area of Square Park.

⠀⠀⠀

⟼ Side of Square Park = 100m

⟼ Area of Square Park = (side)²

⟼ Area of Square Park = side × side

⟼ Area of Square Park = 100 × 100

⟼ Area of Square Park = 10000 m²

⠀⠀⠀

Now,

⟹ Area of 1 Quadrant = ¼ πr²

⟹ Area of 4 Quadrant = 4 × ¼ πr²

⟹ Area = 4 × ¼ × 22/7 × (14)²

⟹ Area = 4 × ¼ × 22/7 × 14 × 14

⟹ Area = 22/7 × 14 × 14

⟹ Area = 22 × 2 × 14

⟹ Area = 44 × 14

⟹ Area = 616 m²

⠀⠀⠀

So,

➟ Area of Remaining part :

• Area of Park - Area of Quadrant
• 10000 m² - 616 m²
• 9384 m²

Thus Area of Remaining part is 9384m²

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