Construction of Squares Using Circle Properties

Q.

To draw a square inside a circle, the diameters must be _______ .

1. perpendicular to each other

2. inclined at an angle of ${45}^o$

3. inclined at an angle of ${65}^o$

4. inclined at an angle of ${30}^o$

Q.

Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at C and D.

Examine whether and are at right angles.

Q.

In the construction of a square inside a circle, the angle between the two diameters should be ___

1. 45${}^{\circ }$.

2. 60${}^{\circ }$.

3. 90${}^{\circ }$.

4. 30${}^{\circ }$.

Q. A square can be constructed using a circle when we have the length of its diagonal.

1. True
2. False

Q.

What property of a square is used in Method 2 of construction of a square?

1. The diagonals of a square bisect the angle.

2. The diagonals of a square are equal in length and bisect each other at right angles.

3. All the sides of a square are equal in length.

4. All angles are equal and measure ${90}^{\circ }$

Q.

To draw a square inside a circle, the diameters must be _______ .

1. perpendicular to each other

2. inclined at an angle of ${45}^o$

3. inclined at an angle of ${30}^o$

4. inclined at an angle of ${65}^o$

Q. In the construction of a square inside a circle, the angle between the two diameters should be _____ degrees.

1. 90

Q. In the construction of a square inside a circle, the angle between the two diameters should be _____ degrees.

1. 90