Mathematics
Draw a circle of radius 3.2 cm. Draw two tangents to it inclined at an angle of 60° with each other.
Answer
Steps of Construction :
Draw a circle with center O, radius = 3.2 cm and BC as diameter.
Draw arcs making an angle of 120° at O such that ∠AOB = 120°.
At A and B, draw two rays making an angle of 90° at each point which meet other at point P.
Hence, AP and BP are required tangents making an angle of 60° with each other.
Related Questions
Draw a circle of radius 2.7 cm. Mark its centre as O. Take a point P at a distance of 5.3 cm from O. From the point P, draw two tangents to the circle. Measure the length of each.
Draw a circle of radius 4 cm. Mark its centre as C and mark a point D such that CD = 7 cm. Using ruler and compasses only but not using the centre of the circle, construct two tangents from D.
Draw a circle of radius 2.5 cm. Draw two tangents to it inclined at an angle of 45° to each other.
Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure the length of one tangent.