English

Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.

Advertisements
Advertisements

Question

Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.

Diagram
Advertisements

Solution

 
Steps of construction:

  1. Draw a circle of diameter 9 cm, taking O as the centre.
  2. Mark a point P outside the circle, such that PO = 7.5 cm.
  3. Taking OP as the diameter, draw a circle such that it cuts the earlier circle at A and B.
  4. Join PA and PB.
shaalaa.com
  Is there an error in this question or solution?
Chapter 19: Constructions (Circles) - Exercise 19 [Page 292]

APPEARS IN

Selina Concise Mathematics [English] Class 10 ICSE
Chapter 19 Constructions (Circles)
Exercise 19 | Q 2. | Page 292

RELATED QUESTIONS

Draw two concentric circles of radii 3 cm and 5 cm. Construct a tangent to smaller circle from a point on the larger circle. Also measure its length.


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.


Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter, each at a distance of 5 cm from its center. Draw tangents to the circle from each of these points A and B.


Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.


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 two circles of radii 2.5 cm and 3.5 cm respectively so that their centres are 8 cm apart. Draw direct comm on tangents to the circle. 


Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.


Draw a circle of radius 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.


To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°. It is required to draw tangents at the end points of those two radii of the circle, the angle between which is ______.


A circle of radius r has a center O. What is first step to construct a tangent from a generic point P which is at a distance r from O?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×