Advertisements
Advertisements
Question
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Advertisements
Solution
Steps of construction:
- Draw a line segment BC = 5.6 cm
- With centers B and C, draw two arcs of 5.6 cm radius each which intersect each other at A.
- Join AB and AC.
- Draw angle bisectors of ∠B and ∠C intersecting each other at O.
- From O, draw OL ⊥ BC.
- Now with centre O and radius OL, draw a circle which will touch the sides of ΔABC.
This is the required circle.
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 circle of radius 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the circle.
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.

Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter, each at a distance of 5 cm from its center. Draw tangents to the circle from each of these points A and B.
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.
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.
A pair of tangents can be constructed from a point P to a circle of radius 3.5cm situated at a distance of ______ from the centre.
Which of the following is not true for a point P on the circle?
A circle of radius r has a center O. What is first step to construct a tangent from a generic point P which is at a distance r from O?
Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.
