Q9 of 805 Page 13

Draw a circle of radius 4 cm. Draw tangent to the circle making an angle of 60° with a line passing through the center.


Steps of Construction:


1. Draw a circle with radius 4 cm and center A.



2. Draw diameter CD passing through A.



3. Draw ∠ CAE = 30° such that AE is a radius of the circle with the point E lying on the circle.



4. Extend the diameter DC to G.



5. Draw FE perpendicular to AE such that FE intersects the DG at F.



Thus, FE is the required tangent with ∠ EFA = 60°.


More from this chapter

All 805 →
6

Draw a ΔABC, right-angled at B such that AB = 3 cm and BC = 4 cm. Now, construct a triangle similar to ΔABC, each of whose sides is times the corresponding side of ΔABC.

 7

Draw a circle of radius 4.8 cm. Take a point P on it. Without using the center of the circle, construct a tangent at the point P. Write the steps of construction.

 8

Draw a circle of radius 3.5 cm. Draw a pair of tangents to this circle which are inclined to each other at an angle of 60°. Write the steps of construction.

 10

Draw two concentric circles of radii 4 cm and 6 cm. Construct a tangent to the smaller circle from a point on the larger circle. Measure the length of this tangent.