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Show that of all the rectangles inscr...

Show that of all the rectangles inscribed in a given circle, the square has the maximum area.

Text Solution

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The correct Answer is:
`- 64 r^(2) lt 0`
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Find the area of the square that can be inscribed in a circle of radius 8 cm.

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Knowledge Check

  • The maximum area of a rectangle that can be inscribed in a circle of radisu 2 units is

    A
    `8pi` sq.units
    B
    4 sq.units
    C
    5 sq.units
    D
    8 sq.units

  • The area of a circle that can be inscribed in a square of side 10cm is

    A
    `10pi cm^2`
    B
    `5 pi cm^2`
    C
    `25 pi cm^2`
    D
    `100pi cm^2`

  • The maximum are of a rectangle inscribed in the circle (x+1)^2+(y-3)^2=64 is

    A
    64 sq. units
    B
    72 sq. units
    C
    128 sq.units
    D
    8 sq.units

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    The maximum area of rectangle that can be inscribed in a circle of radius 2 units is :

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