Example 17: Solve problem involving circles

Example 17

Solve problem involving circles

Question

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = 22/7 )

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Question

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = 22/7 )

The area that is covered with grass is

Yellow area

Blue area

Green area

QUIZ

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Question

Step 1: Label all related measurement

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = ) Find: Green area

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Question

Step 2: Calculate the area of recreational park

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = ) Find: Green area

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Question

Step 3: Calculate the area of flower area

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = ) Find: Green area

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Question

Step 4: Calculate area of the circular-shaped fish pond

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = ) Find: Green area

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Question

Step 5: Find green area

Majlis Bandaraya Melaka Bersejarah intends to build a rectangular recreational park with a length of 63 m and a width of 58 m. At every corner of the park, a quadrant with a radius of 7 m will be planted with flowers. A circular shaped fish pond with a diameter of 28 m will be built in the middle of the park. The remaining areas will be planted with grass. Calculate the area covered with grass. (Use 𝜋 = )

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