Home
Class 10
MATHS
Two circles touch each other externally....

Two circles touch each other externally. Sum of their areas is `90pi cm^2` and the distance between their centres is 12cm. Find their radii.

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (SHORT ANSWER QUESTION II)|14 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (LONG ANSWER TYPE QUESTION)|12 Videos

  • AREA RELATED TO CIRCLES

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

Two circles touch each other internally. Sum of their areas is 25 pi sq. cm If the distance between their centres is 1cm,find their radii.

Two circles of radii 6.9 cm and 2.8 cm touch each other externally.Then the distance between their centres is:

Two circle touch each other internally.The distance between their centres is 1.5 cm.IF the radius of one circle is 3.5 cm,then the radius of the other circle is:

Radii of two circles are 5 cm and 3 cm respectively and the distance between their centres is 6 cm.

Two circle of radii 5m and 3cm touch each other as shown in the figure .The distance between their centres is:

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm, Find the length of the common chord.

Prove that, "If two circles touch each other externally, their centres and the point of contact are collinear".

Three circles touch each other externally.Find the radii of the circles if the sides of the triangle formed by joining the centres are 7cm,8cm and 9cm respectively.

Two intersecting circles have their radii 1 and sqrt(3) meters. The distance between their centres is 2 meters. Then the overlapping area in sq. meters is

For two circles of radii r and R, the distance between their centres is d. What type of circles are they, if d lt R +r ?

ZEN PUBLICATION-AREA RELATED TO CIRCLES -ADDITIONAL QUESTIONS (SHORT ANSWER TYPE QUESTION)
  1. The wheel of a motorcycle is of 35cm. How many revolutions per minute ...

    Text Solution

    |

  2. The side of a square is 8cm. Find the areas of circumscribed and inscr...

    Text Solution

    |

  3. The area of a circular playground is 22176 m^2. Find the cost of fenci...

    Text Solution

    |

  4. A circular pond is 17.5 m in diameter It is surrounded by a path 2m wi...

    Text Solution

    |

  5. Two circles touch each other externally. Sum of their areas is 90pi cm...

    Text Solution

    |

  6. Two circles touch each other internally. Sum of their areas is 25 pi s...

    Text Solution

    |

  7. The driving wheel of a locomative engine is 2.1m in radius and it make...

    Text Solution

    |

  8. Prove that the ratio of the area of a circle and the equilateral trian...

    Text Solution

    |

  9. The difference between the radii of a smaller circle and a larger circ...

    Text Solution

    |

  10. A path of width 3.5 m runs around a semicircular grassy plot whose per...

    Text Solution

    |

  11. Find the difference in the area of a sector of angle 120^@ and its co...

    Text Solution

    |

  12. The area of a sector is one twentieth of the area of the circle. Find ...

    Text Solution

    |

  13. Two concentric circles of radii 3.5 cm and 7cm form a sector as shown ...

    Text Solution

    |

  14. In a circle of radius 21 cm, an arc subtends an angle of 60^(@) at the...

    Text Solution

    |

  15. The area of an equilaterial triangle is 49sqrt3 cm^2. Taking each angu...

    Text Solution

    |

  16. In figure APB and CQD are semicircles of diameter 7cm each while ARC a...

    Text Solution

    |

  17. Four circles each of radius 5cm, touch each other as shown in the figu...

    Text Solution

    |