EASY
Earn 100

To draw a circle circumscribes a given regular hexagon, the minimum number of diagonal(s) we need to draw is

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Important Questions on Constructions

MEDIUM

Use ruler and compass only for answering the question.

Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P.

Measure and write down the length of any one tangent.

HARD
Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.
EASY
To construct an inscribing circle of a regular hexagon, the minimum number(s) of information we need is/are
HARD
Construct a circumcircle of a regular hexagon of side 6 cm
HARD
Construct a incircle of a regular hexagon of side 4.5 cm
MEDIUM
Construct a segment of a circle on a chord of length 8 cm and containing an angle of 65°
EASY

To draw a circle circumscribes a given regular hexagon, the minimum number(s) of information we need is/are

MEDIUM

Construct a segment of a circle on a chord of length 5 cm containing an angle of 45°.

HARD
Construct a regular hexagon of side 6 cm and construct a circle in the regular hexagon. Mark its incentre as I.
HARD
Construct a circumcircle of a regular hexagon of side 5 cm
HARD
Construct a circumcircle of a regular hexagon of side 7 cm
HARD
Construct a incircle of a regular hexagon of side 4 cm
MEDIUM
Construct a segment of a circle on a chord of length 7 cm and containing an angle of 60°
HARD
Construct a incircle of a regular hexagon of side 5 cm
HARD
Construct a regular hexagon of side 5 cm. Construct a circle circumscribing the hexagon. All traces of construction must be clearly shown.
HARD
Construct a incircle of a regular hexagon of side 3 cm
HARD
Construct a circumcircle of a regular hexagon of side 4 cm
MEDIUM

Construct a segment of a circle on a chord of length 5 cm containing an angle of measure 90°.

MEDIUM

Construct a segment of a circle on a chord of length 5 cm containing an angle of 120°.

EASY
A circle passing through all the vertices of a regular hexagon is called a circumscribed circle of the polygon, and its centre is called _____.