If the centers of 16 circles put in a $4 \times 4$ matrix fashion, with every circle touching at least two other circles, are joined by horizontal and vertical lines, then find the number of squares that can be formed.

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Solution

The correct option is C 14

Joining the centres of all the circles (as in the given figure) we get in total 14 squares. 3 in each pair of rows which sums up to 9 squares. The other 5 can be found by simple logic from the figure.

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Q. In the adjoining figure, if the centres of all the circles are joined by horizontal and vertical lines, then find the number of squares that can be formed.

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With the vertices of $△ A B C$ as centers, three circles are described, each touching the other two externally. If the sides of the triangle are 9 cm, 7 cm and 6 cm, find the radii of the circles. [4 MARKS]

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with radius

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If the centers of 16 circles put in a 4×4 matrix fashion, with every circle touching at least two other circles, are joined by horizontal and vertical lines, then find the number of squares that can be formed.

The correct option is C 14 Joining the centres of all the circles (as in the given figure) we get in total 14 squares. 3 in each pair of rows which sums up to 9 squares. The other 5 can be found by simple logic from the figure.

If the centers of 16 circles put in a $4 \times 4$ matrix fashion, with every circle touching at least two other circles, are joined by horizontal and vertical lines, then find the number of squares that can be formed.

The correct option is C 14

Joining the centres of all the circles (as in the given figure) we get in total 14 squares. 3 in each pair of rows which sums up to 9 squares. The other 5 can be found by simple logic from the figure.