Question

Each side of a square park is 80 m. At each corner of the park
there is a flower bed in the form of a quadrant of a circle of
radius 14 m, as shown in the figure. Find the area of the
remaining part of the park.
​

Answer 1

Given

• Side of Square Park ⇒ 80 m

• Radius of Garden ⇒ 14 m

• There is a flower bed in the form of a quadrant circle. (¹/₄ part of a circle is quadrant circle)

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To Find

The area of the remaining part of the park.

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Solution

Area of Square ⇒ (Side)²

Side ⇒ 80 m

Area of Square Park ⇒ (80)² = 6400

Area of Quadrant Circle ⇒ $\sf \dfrac{\pi r^{2} }{4}$

Radius ⇒ 14 m

Area of Quadrant Circle ⇒ $\sf (\dfrac{22}{7} \times 14^{2})\div 4$

⇒ $\sf (\dfrac{22}{7} \times 196)\div 4$

⇒ $\sf (22\times 28) \div 4$

⇒ $\sf 616\div 4$

⇒ $\sf 154$

∴ The area of 1 Quadrant circle is 154 m².

Since there are 4 Quadrant circle we will multiply 4 to 154.

154 × 4 = 616 m

∴ The total area covered by Quadrant circles is 616 m².

Now to find the remaining part of the park we must subtract 616 from 6400.

6400 - 616 = 5784

∴ The area of remaining part of the park is 5784 m².

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Answer 2

Answer:

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GIVEN

• Side of Square Park ⇒ 80 m
• Radius of Garden ⇒ 14 m
• There is a flower bed in the form of a quadrant circle. (¹/₄ part of a circle is quadrant circle)

________________________________

To Find

• The area of the remaining part of the park.

________________________________

Solution

• Area of Square ⇒ (Side)²

• Side ⇒ 80 m

Area of Square Park ⇒ (80)² = 6400

Area of Quadrant Circle ⇒ $\sf \dfrac{\pi r^{2} }{4}$

Radius ⇒ 14 m

Area of Quadrant Circle ⇒ $\sf (\dfrac{22}{7} \times 14^{2})\div 4$

⇒ $\sf (\dfrac{22}{7} \times 196)\div 4$

⇒ $\sf \frac{22}{7} \times 196 \div 4$

⇒ $\sf 616\div 4$

⇒ $\sf 154$

∴ The area of 1 Quadrant circle is 154 m².

• Since there are 4 Quadrant circle we will multiply 4 to 154.

154 × 4 = 616 m

∴ The total area covered by Quadrant circles is 616 m².

• Now to find the remaining part of the park we must subtract 616 from 6400.

6400 - 616 = 5784

∴ The area of remaining part of the park is 5784 m².

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