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प्रश्न
Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60°.
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उत्तर
Steps of construction:
- Draw a circle with centre O and radius BC = 4.5 cm.
- Draw arcs making an angle of 180° – 60° = 120° at O such that ∠AOB = 120°.
- At A and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
- AP and BP are the required tangents which make an angle of 60º with each other at P.
संबंधित प्रश्न
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other 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.
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.

- 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 a line segment AB of length 8 cm. Taking A as centre , draw a circle of radius 4 cm and taking B as centre , draw another circle of radius 3 cm. Construct tangents to each circle form the centre of the other circle.
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 3 cm. Take a point at 5.5 cm from the center at the circle. From point P, draw two tangents to the circle.
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.
Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.
