Question

Write the coordinates of the centre of the circle inscribed in the square formed by the lines x = 2, x = 6, y = 5 and y = 9.

Answer 1

From the figure, we can see that the vertices of the square are (2, 5), (6, 5), (2, 9) and (6, 9).
The vertices of the diagonals are (2, 9), (6, 5) and (2, 5),(6, 9).
∴ Coordinates of the centre = \[\left( \frac{6 + 2}{2}, \frac{5 + 9}{2} \right) = \left( 4, 7 \right)\]