In a circle of radius, 4.5 cm , draw two radii such that the angle between them is 60°. Draw two tangents at the end of the radii.

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Solution

Length of the radius = 4.5 cm

The steps below need to be followed to construct the circle and the tangents.

1. Draw a circle of radius 4.5 cm with centre O.

2. Take a point P on the circle and join OP.

3. Draw at the centre O of the circle.

4. Draw perpendiculars X₁Y₁ at P and X₂Y₂at Q respectively such that.

Thus, X₁Y₁ and X₂Y₂are two tangents at the ends of the radii making an angle of 60° between them.

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