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A square of side x is inscribed in a cir...


A square of side x is inscribed in a circle of radius 4 cm. Then x is

A

`3sqrt2`

B

`2sqrt2`

C

`5sqrt2`

D

`4sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Dagonal of the square =8 cm

Side `=(1)/(sqrt(2))xx` Diagonal
`(1)/(sqrt(2))xx8(8)/(sqrt(2))xx (sqrt(2))/(sqrt(2 sqrt(2)))`
`=(8sqrt(2)/(2))=7 sqrt(2)` units
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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 square is inscribed in a circle of radius 7 cm, then find the area of the square (in cm^(2) ).

    A
    49
    B
    98
    C
    196
    D
    392

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