Question

HOLA,



$\huge \fbox \red{❥ Question}$



Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 45°.




(GUD LUCK ☺️)​

Answer 1

Answer:

Draw circle of radius 4.5 cm with centre O.

2. Take any points A on the circle. Join OA. Mark another point B on the circle such that ∠AOB = 135°,

supplementary to the angle between the tangents.

Since the angle between the tangents to be constructed is 45°.

∴ ∠AOB = 180° – 45° = 135°.

3. Construct angles of 90° at A and B and extend the lines so as to intersect at point P.

4. Thus, AP and BP are the required tangents to the circle.

Answer 2

Answer:

Steps of Construction:-

i) Draw a circle with centre O and radius BC = 4.5 cm

ii) Draw arcs making an angle of 180º - 60º = 120º at O such that triangle AOB = 120º

iii)AT A and B, draw two rays making an angle of 90º at each point which meet each other at point P, outside the circle.

iv)AP and BP are the required tangents which make an angle of 60º with each other at P.

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