Advertisements
Advertisements
Question
Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.
Solution
Steps of Construction
Step 1: Draw a circle with O as center and radius 3.5 cm.
Step 2: Mark a point P outside the circle such that OP = 6.2cm.
Step 3: Join OP. Draw the perpendicular bisector XY of OP,cutting OP at Q.
Step 4: Draw a circle with Q as center and radius PQ (or 0Q), to intersect the given circle at the points T and T’.
Step 5: Join PT and PT’.
Here, PT and PT’ are the required tangents.
APPEARS IN
RELATED QUESTIONS
Draw a circle of radius 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the circle.
Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other an angle of 60º.
Draw a line AB = 5 cm. Mark a point C on AB such that AC = 3 cm. Using a ruler and a compass only, construct :
- A circle of radius 2.5 cm, passing through A and C.
- Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.
In the figure given below, O is the centre of the circle and SP is a tangent. If ∠SRT = 65°,
find the value of x, y and z.
In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find:
1) AB.
2) the length of tangent PT.
- Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.
- Find its in centre and mark it I.
- With I as centre, draw a circle which will cut off 2 cm chords from each side of the triangle. What is the length of the radius of this circle.
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm , which are inclined to each other at an angle of 60° .
Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.
Take a point O on the plane at the paper. With O as center draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.
