Find the area of the square that can be inscribed in a circle of radius 8 cm brainly
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Given, radius of circle (r) = 8 cm
then, find the diameter circle :
Diameter of circle = 2 r = 2 × 8 = 16 cm
since,the square is inscribed in a circle,
then diameter of the circle will be equal to diagonal of the square.
since, we know diagonal of square
= √2 × side
diameter of circle = diagonal of square
16 cm = √2 × side
side = (16/√2 ) = (16 /√2 ) × (√2 /√2 )
side = 16√2/ 2 = 8√2 cm
Area of square = side × side
= 8√2 × 8√2 = 128 cm^2
therefore, area of square = 128 cm^2
Your Answer : 128 cm^2
then, find the diameter circle :
Diameter of circle = 2 r = 2 × 8 = 16 cm
since,the square is inscribed in a circle,
then diameter of the circle will be equal to diagonal of the square.
since, we know diagonal of square
= √2 × side
diameter of circle = diagonal of square
16 cm = √2 × side
side = (16/√2 ) = (16 /√2 ) × (√2 /√2 )
side = 16√2/ 2 = 8√2 cm
Area of square = side × side
= 8√2 × 8√2 = 128 cm^2
therefore, area of square = 128 cm^2
Your Answer : 128 cm^2
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same as in the aboveeee
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