Advertisements
Advertisements
Question
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.
Advertisements
Solution
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.
RELATED QUESTIONS
Draw a circle of radius 4 cm. Draw two tangents to the circle inclined at an angle of 60° to each other.
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 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60°.
Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC.
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Draw a circle of radius 4.2. Draw a pair of tangents to this circle inclined to each other at an angle of 45°
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.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be ______.
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.
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.
