Draw a circle of radius 3.5 cm and two perpendicular diameters in it. Construct tangents at the ends of the diameters.

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Solution

Length of the radius = 3.5 cm

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

1. Draw a circle of radius 3.5 cm with centre O.

2. Draw two perpendicular chords PQ and MN passing through O.

3. Draw perpendiculars X₁Y₁ at P, X₂Y₂at Q, X₃Y₃at M and X₄Y₄at N respectively such that.

Thus, X₁Y₁, X₂Y₂, X₃Y₃and X₄Y₄are four tangents at the ends of the two perpendicular diameters PQ and MN.

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