Home
Class 10
MATHS
In the figure semicircles are drawn with...

In the figure semicircles are drawn with PQ, PB and BQ as diameter. `PB = BQ = 21 cm`. A circle with centre O is drawn to touch all the three semicircles. Find its radius and also find the shaded region.

Text Solution

Verified by Experts

The correct Answer is:
7m, `192.5 cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Question|12 Videos
  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Short Answer Question|12 Videos
  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Exercise 12 A|25 Videos
  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|5 Videos

Similar Questions

Explore conceptually related problems

In Figure AB=36cm and M is mid-point of AB.Semi-circles are drawn on AB,AM and MB as diameters.A circle with centre C touches all the three circles.Find the area of the shaded region.

PQ is a lines segment and R is its midpoint. Semicircles are drawn at the same side of PQ taking PR, RQ and PQ as diameters. A circle of radius r and centre O is drawn touching all the three semi circles. Prove that r = (1)/(6) PQ

AB is a line segment of length 2a with M as mid-point. Semicircles are drawn on one side with AM, MB and AB as diameter as shown in the above figure. A circle .with centre O and radius r is drawn such that this circle touches all the three semicircles. The value of r is

PQRS is the diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semi-circles are drawn with PQ and QS as diameters as shown in the figure alongside. Find the ratio of the area of the shaded region to that of the unshaded region.

In the figure,AB is a diameter of the circle with centre O and OA=7cm. Find the area of the shaded region

In the given figure PQ=24cm, PR=78cm and O is the centre of the circle. Find the area of the shaded region. [Take pi=3.14 ]

In the figure, in Delta ABC, angle B = 90^(@), AB = 28 cm and BC = 21 cm . With AC as diameter a semicircle is drawn and with BC as radius a quarter circle is drawn. Find the area of the shaded region correct to two decimal places.

O is the mid-point of line segment AB of length 36 cm. If the semicircles are drawn on AB, OA and OB as diameters, then the radius of the smallest circle which touches all the semicircles is(1) 6 cm (2) 9 cm (3) 12 cm (4) 4 cm.

In figure, OACB is a quadrant of a circle with centre O and radius 7 cm. If AD = 2 cm, find the area of the shaded region.

In the figure, ABC is a right angled triangle with B = 90^(@) , BC = 21 cm and AB = 28 cm. With AC as diameter of a semicircle and with BC as radius, a quarter circle is drawn. Find the area of the shaded portion correct to two decimal places

NAGEEN PRAKASHAN-AREA RELATED TO CIRCLES-Exercise 12 B
  1. In the square ABCD with side 2a cm, four quarter circles are drawn wit...

    Text Solution

    |

  2. A park is in the form of a rectangle 120 m x 100 m. At the centre of ...

    Text Solution

    |

  3. In the figure semicircles are drawn with PQ, PB and BQ as diameter. PB...

    Text Solution

    |

  4. In the figure, in Delta ABC, angle B = 90^(@), AB = 28 cm and BC = 21 ...

    Text Solution

    |

  5. The length of the minute hand of a clock is 10.5 cm. Find the area swe...

    Text Solution

    |

  6. A chord 10 cm long is drawn in the circle whose radius is 5 sqrt2 cm. ...

    Text Solution

    |

  7. In a right -angle triangle, the length of the sides containing the rig...

    Text Solution

    |

  8. In the given figure, ABCD is a square of side 7 cm. DPBA and DQBC are ...

    Text Solution

    |

  9. In the given figure, three semicircles are drawn of diameter 10 cm, 7 ...

    Text Solution

    |

  10. From a thin metallic sheet in the shape of a trapezium ABCD in which A...

    Text Solution

    |

  11. A circulare arc has been with vertex of an equilateral triangle of sid...

    Text Solution

    |

  12. In the adjoining figure, O is the centre of the circle with AC = 24 cm...

    Text Solution

    |

  13. A round table cover has six equal designs as shown in the given figure...

    Text Solution

    |

  14. In the given figure, DeltaABC is right angled at A. Find the area of t...

    Text Solution

    |

  15. In the given figure Delta ABC is right angled at A. Semicircles are dr...

    Text Solution

    |

  16. A girl formed of design in a circle of radius 42 cm leaving an equilat...

    Text Solution

    |

  17. In the given figure, O is the centre of the bigger circle and AC is it...

    Text Solution

    |

  18. The area of a circle inscribed in an equilateral triangle is 154\ c...

    Text Solution

    |

  19. A girl was wearing a set of earings made of the line segments, semicir...

    Text Solution

    |

  20. The given figure shows a square ABCD of side 20 cm. Semicircle are dra...

    Text Solution

    |