Asquare is inscribed in a circle. which of the following statements are true? the diagonals are each twice the length of a side. the diagonals of the square are also diameters of the circle. the diagonals of the square intersect at the center of the circle. the diagonals form four congruent arcs.

Options B, C and D

Step-by-step explanation:

Given that a square is inscribed in a circle. This means that the circle passes through all the vertices of the square

Since angle of a square is 90 degrees and vertices lie on the circle, it follows that the diagonal of the square would be the diameter of the circle.

Also since each diagonal is a diameter of circle, the two diagonals intersect at centre of the circle

The diagonals being symmetrical and cutting at right angles have central angle divided into 4 equal portions of 90 degrees each

Hence diagonals form four arcs which have equal length

Hence right options are

Option B,C and D

OPtion A is wrong because diagonal will be square root of 2 times the side only

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