हिंदी

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.

Advertisements
Advertisements

प्रश्न

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.

आकृति
Advertisements

उत्तर


Steps of construction:

  1. Draw a circle with centre O and radius BA = 5 cm.
  2. Draw arcs making an angle of 180° – 45° = 135° at O such that ∠COB = 135°.
  3. At C and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
  4. CP and BP are the required tangents which make an angle of 45° with each other at P.
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 19: Constructions (Circles) - Exercise 19 [पृष्ठ २९२]

APPEARS IN

सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 19 Constructions (Circles)
Exercise 19 | Q 3. | पृष्ठ २९२

संबंधित प्रश्न

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.


Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Give the justification of the construction.


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:

  1. A circle of radius 2.5 cm, passing through A and C.
  2. Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.

Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.  


Draw a circle circumscribing a regular hexagon with side 5 cm. 


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 and write down the length of one tangent. 


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.


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°.


A park is of the shape of a circle of diameter 7 m. It is surrounded by a path of width of 0·7 m. Find the expenditure of cementing the path, if its cost is Rs 110 per sq. m ?


Draw a circle of radius 3 cm. Construct a square about the circle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×