Home
Class 10
MATHS
ABC is an equilaterial triangle. The are...

ABC is an equilaterial triangle. The area of the shaded region is ABC is the equilateral triangle inscribed in a circle of radius 4 cm with center O. Find the area of shaded region

A

`(pi/3+sqrt3/4)a^2`

B

`(pi/3-sqrt3/2)a^2`

C

`(pi/3-sqrt3/4)a^2`

D

`(pi/3+sqrt3)a^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|10 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (SHORT ANSWER TYPE QUESTION)|17 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 5.3)|16 Videos

  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOTS (HIGHER ORDER THINKING SKILLS) - QUESTIONS) ( IIT/Olympiad/IMO)|10 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

What is the Area of the shaded region ?

In the figure, Delta ABC is in the semi-circle, find the area of the shaded region given that AB = BC =4 cm.

In the figure, Delta ABC is in the semi-circle, find the area of the shaded region given that AB = BC =4 cm ("use " pi= 3.14)

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the trianlge 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 .

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

in fig. find the area of the shaded region [ use pi = 3.14 ]

Find the area of the shaded region in the figure, where ABCD is a square of side 14cm OR Find the area of the shaded regions. Given PQRS a square of sides 14 cm.

In the given figure, O is the centre of circle such that diameter AB = 13 cm and AC 12 cm. BC is joined. Find the area of the shaded region. ( pi = 314 )

Two concentric circles of radii 3.5 cm and 7cm form a sector as shown in the figure. Find the area of the shaded region.

ZEN PUBLICATION-AREA RELATED TO CIRCLES -ADDITIONAL QUESTIONS (MULTIPLE CHOICE QUESTIONS)
  1. The outer and inner diameters of a circular ring are 34cm and 32 cm re...

    Text Solution

    |

  2. The circumference of a circle increases from 4pi to 8pi. The area beco...

    Text Solution

    |

  3. The circumference and area of a circle are numerically equal. Its diam...

    Text Solution

    |

  4. The area of a circle that can be inscribed in a square of side 10cm is

    Text Solution

    |

  5. The angle the minute hand covers in moving from 9.00am to 9.35 am is

    Text Solution

    |

  6. A wire is in the shape of a circle of radius 21cm. It is bent to form ...

    Text Solution

    |

  7. A square circumscribes a circle of radius 6cm the length of the diagon...

    Text Solution

    |

  8. The diameter of a circle whose area is equal to the sum of the areas o...

    Text Solution

    |

  9. Find the area of the ring shaped region enclosed between two concentri...

    Text Solution

    |

  10. A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diame...

    Text Solution

    |

  11. IF the area of a sector is 7/20 of the area of the circle, the sector ...

    Text Solution

    |

  12. A wheel has a radius of 42cm. To cover a distance of 792m, the number ...

    Text Solution

    |

  13. The length of the minute hand of a clock is sqrt21 cm. The angle moved...

    Text Solution

    |

  14. The area swept out by a horse tied in a rectangular field with a rope ...

    Text Solution

    |

  15. A chord of a circle of radius 28cm makes an angle 90^@at the centre. T...

    Text Solution

    |

  16. The perimeter of sector of a circle of radius 7cm and central angle 45...

    Text Solution

    |

  17. Area of the largest triangle that can be inscribed in a semicircle of ...

    Text Solution

    |

  18. ABC is an equilaterial triangle. The area of the shaded region is

    Text Solution

    |

  19. The radius of a circle is decreased by 10%. Its area is changed by

    Text Solution

    |

  20. If the area of circle is 49 pi sq. units then it's perimeter is

    Text Solution

    |