Home
Class 12
MATHS
Regular pentagons are inscribed in two c...

Regular pentagons are inscribed in two circles of radius `5 `and `2` units respectively. The ratio of their areas is

Text Solution

Verified by Experts

The correct Answer is:
`25 : 4`
`Delta_(1) = (5R_(1)^(2))/(2) sin 72^(@)`
`Delta_(2) = (5R_(2)^(2))/(2) sin 72^(@)`
`rArr (Delta_(1))/(Delta_(2)) = (25)/(4)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise (Single)|80 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise (Multiple)|24 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.10|8 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|32 Videos

Similar Questions

Explore conceptually related problems

Find the area of a square inscribed in a circle of radius 5 cm.

The area of a square inscribed in a circle of radius 8 cm is:

Knowledge Check

  • Find the area of a square inscribed in a circle of radius 4 cm.

    A
    32 sq cm
    B
    18 sq cm
    C
    64 sq cm
    D
    25 sq cm

  • The area of the square inscribed in a circle of radius 8 cm is

    A
    256 sq. cm
    B
    250 sq. cm
    C
    128sq. Cm
    D
    125 sq. cm

  • If a regular hexagon is inscribed in a circle of radius r, then its perimeter is :

    A
    `6 sqrt3r`
    B
    6r
    C
    3r
    D
    12r

    • Similar Questions

    Explore conceptually related problems

    if a regular hexagon and regular octagon are inscribed in a circle of radius R then the ratio of areas A_(1), and A_(2), is

    If a regular hexagon is inscribed in a circle of radius ,r then its perimeter is-----

    If a regular hexagon is inscribed in a circle of radius r , then its perimeter is :

    Area of an equilateral triangle inscribed in a circle of radius a is

    The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be

    Home
    Profile