Home
Class 10
MATHS
In fig., ABCD is a square of side 14 cm....

In fig., ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

Text Solution

Verified by Experts

The correct Answer is:
`42cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    NAND LAL PUBLICATION|Exercise EXERCISE 12.2|19 Videos
  • ARITHMETIC PROGRESSIONS

    NAND LAL PUBLICATION|Exercise EXERCISE 5.4|2 Videos

Similar Questions

Explore conceptually related problems

A square of side 3 cm is inscribed in a circle. Find the area of the shaded portion.

ABCD is a square of side 4 cm. With every comer as the centre, quadrant of a circle is drawn and at the centre a circle of 1 cm radius is drawn as shown in figure. Find the area of shaded portion.

The area of an equilateral triangle ABC is 17320.5 cm^(2) . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region. (Use pi=3.14 and sqrt(3)=1.73205 )

In fig., ABC is a quadrant of a circle of radius 14 cm and a semi circle is drawn with BC as diameter. Find the area of the shaded region.

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (Use pi=3.14 and sqrt3=1.73205 )

Two concentric circles have radii 20 cm and 15 cm. Find the area of ring shaped region

In Fig. 12.27, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

In the fig. fourth quadrant of a circle is OACB where O is the centre of the circle and radius of the circle is 3.5 cm. Find the area of fourth quadrant of the circle.and find the area of shaded portion of the part ADBC if OD=2cm (pi=22/7)

AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O. If ZAOB = 30^@ , find the area of the shaded region.

A wire is in the form of a circle with diameter 21 cm. It is cut and bent into a square. Find the area of the square.

NAND LAL PUBLICATION-AREAS RELATED TO CIRCLES -EXERCISE 12.3
  1. Find the area of the shaded region in Fig., if PQ = 24 cm, PR = 7 cm a...

    Text Solution

    |

  2. Find the area of the shaded region in Fig. 12.20, if radii of the two ...

    Text Solution

    |

  3. Find the area of the shaded region in fig, if ABCD is a square o fside...

    Text Solution

    |

  4. Find the area of the shaded region in fig., where a circular arc of ra...

    Text Solution

    |

  5. From each corner of a square ofside 4 cm a quadrant of a circle of rad...

    Text Solution

    |

  6. In a circular table cover of radius 32cm, a design is formed leaving a...

    Text Solution

    |

  7. In fig., ABCD is a square of side 14 cm. With centres A, B, C and D, f...

    Text Solution

    |

  8. Figure depicts a racking track whose left and right ends are semicircu...

    Text Solution

    |

  9. Figure depicts a racking track whose left and right ends are semicircu...

    Text Solution

    |

  10. In Fig. 12.27, AB and CD are two diameters of a circle (with centre O)...

    Text Solution

    |

  11. The area of an equilateral triangle ABC is 17320.5 cm^(2). With each v...

    Text Solution

    |

  12. On a square handkerchief, nine circular designs each of radius 7 cm ar...

    Text Solution

    |

  13. In figure, OACB is a quadrant of a circle 3.5 cm. OD = 2 cm, find the ...

    Text Solution

    |

  14. In figure, OACB is a quadrant of a circle 3.5 cm. OD = 2 cm, find the ...

    Text Solution

    |

  15. In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = ...

    Text Solution

    |

  16. AB and CD are respectively arcs of two concentric circles of radii 21 ...

    Text Solution

    |

  17. In fig., ABC is a quadrant of a circle of radius 14 cm and a semi circ...

    Text Solution

    |

  18. Calculate the area of the designed region in fig. common between the t...

    Text Solution

    |