List of top General Aptitude Questions on Geometry asked in GATE AR

In the given figure, \(P\), \(Q\), and \(R\) are three points on a circle of radius 10 cm with \(O\) as its center, \(\overline{PQ}=\overline{RQ}\), and \(\angle PQR = 45^{\circ}\). The figure is representative.

The area of the shaded region \(PQRO\) is \(\text{cm}^2\).

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle?

A block with a trapezoidal cross-section is placed over a block with a rectangular cross-section as shown above.
Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by the arrow in the above figure?