1.

Square ABCD is drawn with vertex C on circle A. If the radius of the circle is 8 cm, then what is the area of the square in square centimeters.

Answer»

Step-by-step explanation:

ABCD be the square INSCRIBED by the circle.

∴OA=OB=OC=OD

ABC is a right angled triangle, as OA=8,OB=8

AB=8+8=16

According to Pythagoras THEOREM,

Square of hypotenuse = SUM of squares of other two sides.

AC

2

=AB

2

+BC

2

As ABCD is a square all the sides are equal, AB=BC

AC

2

=2AB

2

16

2

=2AB

2

∴AB=8

2

therefore side of the square =8

2

AREA of square =(8

2

)

2

=128cm

2


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