8. Find the area of the square that can be inscribed in a circle of ra

1.	8. Find the area of the square that can be inscribed in a circle of radius 8 cm.
Answer» <html><body><p>-step explanation:Let ABCD be the square <a href="https://interviewquestions.tuteehub.com/tag/inscribed-7315791" style="font-weight:bold;" target="_blank" title="Click to know more about INSCRIBED">INSCRIBED</a> by the circle.∴OA=OB=OC=ODABC is a right angled triangle, as OA=8,OB=8AB=8+8=16According to Pythagoras theorem,Square of hypotenuse = Sum of squares of other two sides.AC <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> =<a href="https://interviewquestions.tuteehub.com/tag/ab-360636" style="font-weight:bold;" target="_blank" title="Click to know more about AB">AB</a> 2 +BC 2 As ABCD is a square all the sides are equal, AB=BCAC 2 =2AB 2 <a href="https://interviewquestions.tuteehub.com/tag/16-276476" style="font-weight:bold;" target="_blank" title="Click to know more about 16">16</a> 2 =2AB 2 ∴AB=8 2 therefore side of the square =8 2 Area of square =(8 2 ) 2 =128cm 2</p></body></html>

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