Advertisements
Advertisements
Question
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
Advertisements
Solution
Steps of construction:
- Draw a line segment AB = 5.8 cm.
- At A and B, draw rays making an angle of 120° each and cut off AF = BC = 5.8 cm.
- Again F and C, draw rays making an angle of 120° each and cut off FE = CD = 5.8 cm.
- Join DE. Then ABCDEF is the regular hexagon.
- Draw the bisectors of ∠A and ∠B intersecting each other at O.
- From O, draw OL ⊥ AB.
- With centre O and radius OL, draw a circle which touches the sides of the hexagon.
This is the required in circle of the hexagon.
APPEARS IN
RELATED QUESTIONS
In the given figure, PQ is a tangent to the circle at A. AB and AD are bisectors of ∠CAQ and ∠PAC. if ∠BAQ = 30°. Prove that:
- BD is a diameter of the circle.
- ABC is an isosceles triangle.
Draw a circle circumscribing a regular hexagon with side 5 cm.
Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.
Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.
Draw a circle of radius 3 cm. Take two points P and Q on one of its diameters extended on both sides, each at a distance of 7 cm on opposite sides of its centre. Draw tangents to the circle from these two points P and Q.
Use ruler and compass only for answering this 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.
Draw a circle at a radius of 3 cm. Take a point at 5.5 cm from the center at the circle. From point P, draw two tangents to the circle.
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 tangents at the end points of those two radii of the circle, the angle between which is ______.
Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.
Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.
