Home
Class 10
MATHS
In Fig. 15.111, if A B C is an equila...

In Fig. 15.111, if `A B C` is an equilateral triangle, then shaded area is equal to (FIGURE) (a) `(pi/3-(sqrt(3))/4)r^2` (b) `(pi/3-(sqrt(3))/2)r^2` (c) `(pi/3+(sqrt(3))/4)r^2` (d) `(pi/3+sqrt(3))r^2`

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos

Similar Questions

Explore conceptually related problems

In Fig. 15.109, the area of segment A C B is (FIGURE) (a) (pi/3-(sqrt(3))/2)\ r^2 (b) (pi/3+(sqrt(3))/2)\ r^2 (c) (pi/3-2/(sqrt(3)))\ r^2 (d) None of these

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) pi\ :sqrt(2) (b) pi\ :sqrt(3) (c) sqrt(3)\ :pi (d) sqrt(2)\ :pi

In an equilateral triangle the inradius and the circum-radius is connected by (1)r=4R(2)r=(R)/(2)(3)r=(R)/(3)(4)r=(r)/(sqrt(3))

Each side of an equilateral triangle is equal to the radius of a circla whose area is 154cm^(2). The area of the triangle is (7sqrt(3))/(4)cm^(2)(b)(49sqrt(3))/(2)cm^(2)(49sqrt(3))/(4)cm^(2)(d)(7sqrt(3))/(2)cm^(2)

cot^(-1)(-sqrt3)= (a) -pi/6 (b) (5pi)/6 (c) pi/3 (d) (2pi)/3

If the length of each side of an equilateral triangle of area 4sqrt(3)cm^(2), is 4cm(b)(4)/(sqrt(3))cm (c) (sqrt(3))/(4)cm(d)3cm

In an equilateral triangle r:R : r_(1) is (A) 1:1:1 (B) 1:sqrt(2):3 (C) 1:2:3 (D) 2:sqrt(3):sqrt(3)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

If cosxdy/dx-y sin x=6x, (0ltxltx/2)and y(pi/3)=0 , then y(pi/6) is equal to (a) pi^(2) /(2sqrt 3) (b) -pi^(2) /(2sqrt 3) (c) -pi^(2) /(4sqrt 3) (d) (c) -pi^(2) /2

RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
  1. If diameter of a circle is increased by 40%, then its area increase...

    Text Solution

    |

  2. In Fig. 15.107, the shaded area is (FIGURE) (a) 50(pi-2)c m^2 (b) ...

    Text Solution

    |

  3. In Fig. 15.108, the area of the segment P A Q is (FIGURE) (a) (a^2)/4(...

    Text Solution

    |

  4. In Fig. 15.109, the area of segment A C B is (FIGURE) (a) (pi/3-(sq...

    Text Solution

    |

  5. If the area of a sector of a circle bounded by an arc of length 5pi...

    Text Solution

    |

  6. In Fig. 15.110, the ratio of the areas of two sectors S1 and S2 is ...

    Text Solution

    |

  7. If the area of a sector of a circle is 5/(18) of the area of the ci...

    Text Solution

    |

  8. If the area of a sector of a circle is 7/(20) of the area of the ci...

    Text Solution

    |

  9. In Fig. 15.111, if A B C is an equilateral triangle, then shaded ar...

    Text Solution

    |

  10. In Fig. 15.112, the area of the shaded region is (FIGURE) (a) 3pi\ ...

    Text Solution

    |

  11. If the perimeter of a circle is equal to that of a square, then the...

    Text Solution

    |

  12. 13. The radius of a circle is 20cm. Three more concentric circles are ...

    Text Solution

    |

  13. The area of a sector whose perimeter is four times its radius r uni...

    Text Solution

    |

  14. If a chord of a circle of radius 28 cm makes an angle of 90o at ...

    Text Solution

    |

  15. If area of a circle inscribed in an equilateral triangle is 48pi sq...

    Text Solution

    |

  16. The hour hand of a clock is 6 m long. The area swept by it between ...

    Text Solution

    |

  17. A B C D is a square of side 4 cm. If E is a point in the interio...

    Text Solution

    |

  18. If the area of a circle is equal to the sum of the areas of two cir...

    Text Solution

    |

  19. If pi is taken as 22//7 , the distance (in metres) covered by a ...

    Text Solution

    |

  20. ABCD is a rectangle whose three vertices are B(4, 0),  C(4, 3) and D(...

    Text Solution

    |