Home
Class 9
MATHS
Prove that in all pictures, the perimete...

Prove that in all pictures, the perimeters of the large circle is the sum of the perimeters of the'small circles.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

In the picture a triangle is formed by two mutually perpendicular tangents to a circle and a third tangent. Prove that the perimeter of the triangle is equal to the diameter of the circle.

Prove that in any parallelogram, the 'sum of the squares of all sides is equal to the sum of the squares of the diagonals'.

Calculate the perimeter and area of the triangle in the picture.

Corners of a square are. on a circle. If the length of one side of square is 10 cm, find the perimeter of the circle.

We have seen how we can draw a series of right triangles as in the picture. How mulch more is the perimeter of the 10^th triangle than the perimeter of the ninth triangle? .

The sum of the perimeter of a circle and square is k , where k is a constant. Prove that the sum of their areas is least when the side of the square is double the radius of the circle.

In the figure, O is the centre of the large circle. Centre of the small circle is C. OP is a tangent to the small circle. angleBOQ=50^o . anglePOQ=....... . .

In the figure, O is the centre of the large circle. Centre of the small circle is C. OP is a tangent to the small circle. angleBOQ=50^o . angleOAQ=......... . .

In the figure, O is the centre of the large circle. Centre of the small circle is C. OP is a tangent to the small circle. angleBOQ=50^o . angleOCP=....... . .

In the figure, O is the centre of the large circle. Centre of the small circle is C. OP is a tangent to the small circle. angleBOQ=50^o . angleAPO=....... . .

V PUBLICATION-CIRCLE MEASURES-QUESTIONBANK
  1. An isosceles triangle with its vertices on a circle is shown in this p...

    Text Solution

    |

  2. In all the picture below, the centres of the circles are on the same l...

    Text Solution

    |

  3. Prove that in all pictures, the perimeters of the large circle is the ...

    Text Solution

    |

  4. In this picture, the circles have the same centre and the line drawn i...

    Text Solution

    |

  5. Corners of a square are. on a circle. If the length of one side of squ...

    Text Solution

    |

  6. A wheel is of radius 30 cm. If the wheel revolves 200 times in one min...

    Text Solution

    |

  7. The diameter of a car wheel is 60 cm. How many revolutions does If mak...

    Text Solution

    |

  8. A wheel is of radius 20 cm. If it make 10 revolution ,find the distanc...

    Text Solution

    |

  9. In the pictures below, find the difference between the areas of the ci...

    Text Solution

    |

  10. The pictures below show circles through the vertices of a square and a...

    Text Solution

    |

  11. Draw a square and draw circles centered on the corners, of radius half...

    Text Solution

    |

  12. Prove that the ared of the large circle is equal to the sum of the are...

    Text Solution

    |

  13. In the two pictures below, the squares are of the same size. Prove th...

    Text Solution

    |

  14. Parts of circles are drawn inside a square as shown in the picture bel...

    Text Solution

    |

  15. In the figure, semicircles are drawn with the sides of a triangles as...

    Text Solution

    |

  16. A wire 66 cm long is bent into a circle. What is the area enclosed wit...

    Text Solution

    |

  17. A circular dining table has 6.16 sq.m area. What length of wooden rod ...

    Text Solution

    |

  18. Suppose that each side of the square in the picture has length 12 cm ....

    Text Solution

    |

  19. Suppose that the diameter of the circle in the picture below is 18 cm ...

    Text Solution

    |

  20. In each of the figures below, find the area of the shaded part. All le...

    Text Solution

    |