A square OABC is inscribed in a quadratic OPBQ if OA 20cm find the are

1.	A square OABC is inscribed in a quadratic OPBQ if OA 20cm find the area of shared regions
Answer» In ΔOAB,OB2\xa0= OA2\xa0+ AB2= (20)2\xa0+ (20)2=2(20)2OB =\xa0{tex}20\\sqrt 2{/tex}Radius (r) of circle =\xa0{tex}20\\sqrt 2{/tex}\xa0cm\xa0Area of quadrant OPBQ ={tex}\\frac{90}{360} \\times \\pi \\times {(20 \\sqrt 2)}^2{/tex}= 628 cm2Area of OABC = (Side)2= (20)2= 400 cm2Area of shaded region = Area of quadrant OPBQ - Area of OABC= (628 - 400)= 228 cm2

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