Home
Class 14
MATHS
In the adjoining figure PQRS is a square...

In the adjoining figure PQRS is a square of maximum possible area which is circumscribed by the semicricle . Points R and S lie on the diameter AB. What is the area of the square if the radius of the circle is 'r' ?

A

`(sqrt(3))/(4) r^(2) `

B

`(4)/(5) r^(2) `

C

`3/5 r^(2) `

D

`(sqrt(5))/(4) r^(2) `

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MENSURATION

    ARIHANT SSC|Exercise EXERCISE (LEVEL 2)|68 Videos

  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 2|19 Videos

  • MIXED GRAPH

    ARIHANT SSC|Exercise Higher Skill Level Questions|15 Videos

Similar Questions

Explore conceptually related problems

What is the area of a square inscribed in a circle of diameter x cm?

in the adjoining figure ABCD is a square of side 14 cm. Find the radius of the circle

Knowledge Check

  • The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 36 pi sq cm.

    A
    a. 75
    B
    b.144
    C
    c. 36
    D
    d. 18

  • In the adjoining figure a square of maximum possible area is circumscribed by the right angle triangle ABC in such a way that one of its side just lies on the hypotenuse of the triangle . What is the area of the square ?

    A
    `((abc)/(a^(2) + b^(2) + ab))^(2) `
    B
    `(a^(2) + b^2 + c^2)/(abc) `
    C
    `(abc)/(a^(2) + b^(2) + c^(2))`
    D
    none of these

  • A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be :

    A
    (a) `sqrt(pi) :1`
    B
    (b) `1:sqrt(pi)`
    C
    (c) `pi^(2) : 1`
    D
    (d) `1 : pi`

    • Similar Questions

    Explore conceptually related problems

    The areas of a circle and a square are same. The ratio of the side of the square to the radius of the circle is

    A circle and a square have same area. The ratio of the side of the square and the radius of the circle is -----

    The area of a square made in a circle of radius r is

    In the adjoining figure ABC is an equilateral triangle and C is the centre of the circle, A and B lie on the circle. What is the area of the shaded region , if the diameter of the circle is 28 cm ?

    A square of side length 2 cm is circumscribed by a circle, then area of circle is

    Home
    Profile