Advertisements
Advertisements
प्रश्न
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.
Advertisements
उत्तर
Steps of construction:
- Draw a circle with centre O and radius BA = 5 cm.
- Draw arcs making an angle of 180° – 45° = 135° at O such that ∠COB = 135°.
- At C and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
- CP and BP are the required tangents which make an angle of 45° with each other at P.
APPEARS IN
संबंधित प्रश्न
Draw two concentric circles of radii 3 cm and 5 cm. Construct a tangent to smaller circle from a point on the larger circle. Also measure its length.
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.
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.
A park is of the shape of a circle of diameter 7 m. It is surrounded by a path of width of 0.7 m. Find the expenditure of cementing the path, if its cost is Rs 110 per sq m.
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 ?
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
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.

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.
Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.
