Advertisements
Advertisements
Question
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
Advertisements
Solution
Steps of Construction:
i) Draw a line segment AB = 5.8 cm
ii) At A and B, draw rays making an angle of 120o each and cut off AF = BC = 5.8 cm
iii) Again F and C, draw rays making an angle of 120o each and cut off FE = CD = 5.8 cm.
iv) Join DE. Then ABCDEF is the regular hexagon.
v) Draw the bisectors of ∠A and ∠B intersecting each other at O.
vi) From O, draw OL ⊥ AB
vii) 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
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.
Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.Steps
In the given figure PQ is a tangent to the circle at A, AB and AD are bisectors of `angleCAQ` and `angle PAC`. if `angleBAQ = 30^@. prove that:
1) BD is a diameter of the circle
2) ABC is an isosceles triangle
In the figure given below, O is the centre of the circle and SP is a tangent. If ∠SRT = 65°,
find the value of x, y and z.
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.
Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC.
Construct a triangle ABC in which base BC = 5.5 cm, AB = 6cm and ∠ABC = 120°.
(1) Construct a circle circumscribing the triangle ABC.
(2) draw a cyclic quadrilateral ABCD so that D is equidistant from B and C.
Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents form the point P to the circle
Draw a circle of radius 4.2. Draw a pair of tangents to this circle inclined to each other at an angle of 45°
Draw a circle of radius 4 cm and take a point Pon its circumference. Construct a tangent to the circle at P.
Using ruler and compasses only, draw tangents to a circle of radius 3 cm from a point 5 cm from the centre. What is the length of each of them ?
In Figure 2, PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length TP.
Take a point O on the plane at the paper. With O as center draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.
Use a ruler and a pair of compasses to construct ΔABC in which BC = 4.2 cm, ∠ ABC = 60°, and AB 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ ABC of Δ ABC.
Draw a circle of radius 4 cm. Take a point P outside the circle without using the center at the circle. Draw two tangents to the circle from point P.
Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.
Which of the following is not true for a point P on the circle?
Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60º. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.
Construct 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 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.
