Home
Class 12
MATHS
An equilateral triangle has side length ...

An equilateral triangle has side length 8. The area of the region containing all points outside the triangle but not more than 3 units from a point on the triangle is :

A

`9(8+pi)`

B

`8(9+pi)`

C

`9(8+pi/2)`

D

`8(9+pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle having all side equal to 8.

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is

In an equilateral triangle, three coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. The area of the triangle is 2sqrt(3) (b) 6+4sqrt(3) 12+(7sqrt(3))/4 (d) 3+(7sqrt(3))/4

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

An equilateral triangle is inscribed in the parabola y^2 = 4 ax , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

Area of an equilateral triangle is 17300 cm^2 . By taking each vertex of the triangle as centre, a circle is drawn at each vertex. The radius of thecircleis half of the length of the side of an equilateral triangle. Find the area of that portion of the triangle which is not included in the circle. (pi=3.14 and sqrt3=1.73 )

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 )

Each side of an equilateral triangle subtends an angle of 60^(@) at the top of a tower h m high located at the centre of the triangle. If a is the length of each side of the triangle, then

If the area of an equilateral triangle is 16 sqrt3 cm^2 , then the perimeter of the triangle is

An equilateral triangle has two vertices at the points (3, 4) and (-2, 3) , find the coordinates of the third vertex.

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  2. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  3. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  4. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |

  5. If AD is the altitude on BC and AD produced meets the circumcircle of ...

    Text Solution

    |

  6. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

    Text Solution

    |

  7. Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...

    Text Solution

    |

  8. A circle is inscribed inside a regular pentagon and another circle is ...

    Text Solution

    |

  9. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

    Text Solution

    |

  10. Minimum value of cos theta is equal

    Text Solution

    |

  11. In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...

    Text Solution

    |

  12. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

    Text Solution

    |

  13. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

    Text Solution

    |

  14. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

    Text Solution

    |

  15. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  16. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  17. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  18. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

    Text Solution

    |

  19. If t a nbeta=(n sinalphacosalpha)/(1-n sin^2alpha) , show that tan(alp...

    Text Solution

    |

  20. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |