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प्रश्न
Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.
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उत्तर
Steps of construction:
- Draw a line segment BC = 4.5 cm.
- With centers B and C, draw two arcs of radius 4.5 cm which intersect each other at A.
- Join AC and AB.
- Draw perpendicular bisectors of AC and BC intersecting each other at O.
- With centre O and radius OA or OB or OC draw a circle which will pass through A, B and C.
This is the required circumcircle of triangle ABC.
On measuring the radius OA = 2.6 cm.
संबंधित प्रश्न
Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other an angle of 60º.
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 a circle, inscribing an equilateral triangle with side 5.6 cm.
Draw a circle circumscribing a regular hexagon with side 5 cm.
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.
Write the steps of construction for drawing 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 at a radius of 4 cm. Take a point on it. Without using the centre at the circle, draw a tangent to the circle at point P.
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.
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.
A pair of tangents can be constructed to a circle inclined at an angle of 170°.
