मराठी

Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents

Advertisements
Advertisements

प्रश्न

Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.

बेरीज
Advertisements

उत्तर

Steps for construction:

  1. Draw concentric circles of radius 4 cm and 6 cm with centre of O.
  2. Take point P on the outer circle.
  3. Join OP.
  4. Draw perpendicular bisectors of OP where M is the midpoint of OP.
  5. Take a distance of a point O from the point M and mark arcs from M on the inner circle it cuts at point A and B respectively.
  6. Join PA and PB.
  7. We observe that PA and PB are tangents from outer circle to inner circle are equal of a length 4.5 cm each.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Constructions (Circles) - EXERCISE 19 [पृष्ठ ३००]

APPEARS IN

सेलिना Concise Mathematics [English] Class 10 ICSE
पाठ 19 Constructions (Circles)
EXERCISE 19 | Q 16. | पृष्ठ ३००

संबंधित प्रश्‍न

Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.


Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. 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 construct a triangle ABC in which BC = 4 cm, ∠ACB = 45° and perpendicular from A on BC is 2.5 cm. Draw a circle circumscribing the triangle ABC and measure its radius.  


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


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.


Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.


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. Take two points P and Q on one of its diameters extended on both sides, each at a distance of 7 cm on opposite sides of its centre. Draw tangents to the circle from these two points P and Q.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×