Question

To construct the following rectangle inside a circle, the 2 diametres we consider must be ___.

• A. perpendicular to each other
• B. inclined at an angle of 30${}^{\circ }$
• C. inclined at an angle of 60${}^{\circ }$
• D. inclined at an angle of 120${}^{\circ }$

Answer 1

The correct option is C

inclined at an angle of 60${}^{\circ }$

In the construction of the above rectangle using circle properties, the 2 diametres we consider must be inclined at an angle of 60${}^{\circ }$.

i.e., the angle between the diagonals of the rectangle and the angle between the 2 diametres of the circle we consider are the same and equal to 60${}^{\circ }$.