Home
Class 14
MATHS
Find the sum of the areas of the shaded ...

Find the sum of the areas of the shaded sectors given that ABCDEF is any hexagon and all the circles are of same radius r with different vertices of the hexagon as their centres as shown in the figure.

A

`pi r^(2)`

B

`2 pi r^(2)`

C

`5 pi r^(2)//4`

D

`3pi r^(2)//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    DISHA PUBLICATION|Exercise Practice Exercises (EXPERT LEVEL)|45 Videos

  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • MENSURATION

    DISHA PUBLICATION|Exercise Practice Exercises ( Foundation Level) |70 Videos

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

  • MOCK TEST - 3

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

Similar Questions

Explore conceptually related problems

If a regular hexagon is inscribed in a circle of radius r, then find the perimeter of the hexagon.

If the radius of the circle is 6 cm, then the area of the shaded region shown in the figure is

Find the area of the shaded field shown in the given figure

In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and al circles are of the same diameter.

Find the area of the shaded field shown in the given figure.

Find the area of the shaded region. [All the circles shown in the figure are congruent]

Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle.

From a piece of paper in the shape of a regular hexagon, sectors of circles with the centre at the vertices are removed as shown in the figure. Find the fraction of the vertices are removed as shown in the figure. Find the fraction of the piece of paper left. Also find the perimeter of the piece of paper left in terms of a side of the hexagon

ABCDEF is a regular hexagon.With vertices A,B,c,D,E and F as the centres,circles same radius r are drawn.Find the area of the shaded portion shown in the given figure.

Find the difference of the area of a sector of angle 90^@ and its coresponding major sector of a circle of radius 9.8 cm

DISHA PUBLICATION-MENSURATION-Practice Exercises (STANDARD LEVEL)
  1. The sides of a triangle are 21, 20 and 13 cm. Find the area of the lar...

    Text Solution

    |

  2. A solid sphere of radius 6 cm is melted into a hollow cylinder of unif...

    Text Solution

    |

  3. Find the sum of the areas of the shaded sectors given that ABCDEF is a...

    Text Solution

    |

  4. A cube is inscribed in a hemisphere of radius R, such that four of its...

    Text Solution

    |

  5. Two different sides of a parallelogram are 8 cm and 6 cm and the ratio...

    Text Solution

    |

  6. In the figure given below, ABCO represents a quadrant of a circle of r...

    Text Solution

    |

  7. The volume of spheres are proportional to the cubes of their radii. Tw...

    Text Solution

    |

  8. If the sides 50 m and 130 m of the triangular field meet at an angle o...

    Text Solution

    |

  9. In the adjoining figure is a park in which shaded area is to be covere...

    Text Solution

    |

  10. ABCD is a quadrilateral. The diagonals of ABCD intersect at the point ...

    Text Solution

    |

  11. Two circles of radius 1 cm touch at point P. A third circle is drawn t...

    Text Solution

    |

  12. A toy is in the shape of a right circular cylinder with a hemisphere o...

    Text Solution

    |

  13. A square hole of cross-sectional area 4 cm2 is drilled across a cube w...

    Text Solution

    |

  14. In the equilateral triangle ABC, AD = DE = BE, D and E lies on the AB....

    Text Solution

    |

  15. ABCD is a rectangle of dimensions 6cmxx8cm. DE and BF are the perpendi...

    Text Solution

    |

  16. Two circles touch internally and their centres are O and Oc as shown. ...

    Text Solution

    |

  17. The given question is followed by three statements labelled I, II and ...

    Text Solution

    |

  18. Each of these questions consists of a question followed by information...

    Text Solution

    |

  19. The given question is followed by three statements labelled I, II and ...

    Text Solution

    |

  20. The given question is followed by three statements labelled I, II and ...

    Text Solution

    |