Question

Two circle each of radius 4 cm is constructed in such a way that centre of each touches the circumference of other as shown in figure.
$\text{The polygon}A{C}_{1}B{C}_2\text{is a}$_______.

• A. rhombus of side 4 cm
• B. square of side 4 cm
• C. rectangle of side 4 cm
• D. trapezium of side 4 cm

Answer 1

The correct option is A rhombus of side 4 cm

$A{C}_{1}B{C}_2$ is a rhombus because all the sides are equal ( the radius of the circle form the sides of the polygon).

It cannot be a square or a rectangle since four angles are not equal to 90°.

The diagonals bisect at 90 degrees when we draw a rhombus.

Its not a trapezium since it has two pairs of sides parallel to each other.