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प्रश्न
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
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उत्तर
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.
संबंधित प्रश्न
Draw a right triangle ABC in which AB = 6 cm, BC = 8 cm and ∠B = 90°. Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.
In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find:
1) AB.
2) the length of tangent PT.
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.
- Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.
- Find its in centre and mark it I.
- With I as centre, draw a circle which will cut off 2 cm chords from each side of the triangle. What is the length of the radius of this circle.
Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.
Draw a circle with center O and radius 4 cm. Draw any diameter AB of this circle. Construct tangents to the circle at each of the two end points of the diameter AB.
Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.
Draw a circle of radius 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.
Draw two lines AB, AC so that ∠ BAC = 40°:
(i) Construct the locus of the center of a circle that touches AB and has a radius of 3.5 cm.
(ii) Construct a circle of radius 35 cm, that touches both AB and AC, and whose center lies within the ∠ BAC.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
