Constructions based on Circle

IMPORTANT

Constructions based on Circle: Overview

This topic explores the construction of tangents to a given circle. It further teaches us the construction of circumscribed and inscribed circles. In addition, it describes the steps of construction of regular hexagons.

Important Questions on Constructions based on Circle

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IMPORTANT

Determine the radius of an circumcircle by drawing an circumscribing circle of a regular hexagon of side 4 cm.

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Determine the radius of an circumcircle by drawing an circumscribing circle of a regular hexagon of side 5 cm.

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Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

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Determine the radius of an incircle by drawing an inscribing circle of a regular hexagon of side 8 cm.

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Determine the radius of an incircle by drawing an inscribing circle of a regular hexagon of side 6 cm.

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Determine the radius of an incircle by drawing an inscribing circle of a regular hexagon of side 5.8 cm.

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Determine the length of each tangent to a circle of diameter of 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point.

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Measure and write down the length of one tangent of a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle.

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Find the length of each tangent to a circle of diameter of 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point.

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To construct tangent to a given circle from an exterior point, number(s) of information we need is/are

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To construct a circumscribes circle of a hexagon, we need to find the bisector of minimum _____.

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To construct a circumscribes circle of a hexagon, we need to find bisector of minimum _____ number of side(s)

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

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

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Whenever a circle circumscribes a given regular hexagon, its radius is always equal to the length of the _____ of the regular hexagon.

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To construct an inscribing circle of a hexagon, we need to find angle bisector of minimum _____ number of side(s)

EASY
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To construct an inscribing circle of a regular hexagon, the minimum number(s) of information we need is/are

HARD
IMPORTANT

Construct a incircle of a regular hexagon of side 5 cm

HARD
IMPORTANT

Construct a incircle of a regular hexagon of side 4.5 cm

HARD
IMPORTANT

Construct a incircle of a regular hexagon of side 3.5 cm