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Standard IX

Mathematics

Circle: Extreme Case of Polygons

A circular fl...

Question

A circular floor with radius $28 c m$ is tiled with $30$ square tiles of side $8 c m$ as shown in Fig. Find the area of the shaded region.

544 c m^{2}

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524 c m^{2}

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542 c m^{2}

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444 c m^{2}

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Solution

The correct option is A $544 c m^{2}$
Area of circle $= π (28) (28) = 2464$
Area of a square tile $= 8^{2} = 64$
30 tiles $= 30 \times 64 = 1920$
Area of shaded region $= 2464 - 1920 = 544 c m^{2}$

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A circular floor with radius 28cm is tiled with 30 square tiles of side 8cm as shown in Fig. Find the area of the shaded region.

The correct option is A 544cm2Area of circle=π(28)(28)=2464Area of a square tile=82=6430 tiles=30×64=1920Area of shaded region=2464−1920=544cm2

A circular floor with radius $28 c m$ is tiled with $30$ square tiles of side $8 c m$ as shown in Fig. Find the area of the shaded region.

The correct option is A $544 c m^{2}$
Area of circle $= π (28) (28) = 2464$
Area of a square tile $= 8^{2} = 64$
30 tiles $= 30 \times 64 = 1920$
Area of shaded region $= 2464 - 1920 = 544 c m^{2}$