Constructions based on Circle

IMPORTANT

Constructions based on Circle: Overview

This Topic covers sub-topics such as Construction of Circumcircle of a Regular Hexagon, Construction of Pair of Tangents to a Circle From a Point outside it and, Construction of Incircle of a Regular Hexagon

Important Questions on Constructions based on Circle

EASY
IMPORTANT

To draw two tangents to a circle of radius 3cm with centre O, from a point P at a distance of 5cm from O, a circle is drawn with centre at the mid-point of OP and radius

MEDIUM
IMPORTANT

To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw the tangents at the end points of those two radii of the circle, the angle between which is 

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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.

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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.

EASY
IMPORTANT

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.

EASY
IMPORTANT

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.

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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