New 55% Off on All Courses - Enroll Now! Click Here

    Question

    A square ABCD is inscribed in a quadrant APCQ in the

    given figure. If AB = 20 cm, find the area of the shaded region (take π=3.14) correct to two places of decimal
    A 225cm² Correct Answer Incorrect Answer
    B 143cm² Correct Answer Incorrect Answer
    C 228cm² Correct Answer Incorrect Answer
    D 200cm² Correct Answer Incorrect Answer

    Solution

    Side of square = 20 Radius of quadrant =Diagonal of square R= 20√2 Area of the shaded region = area of quadrant – area of square = πr²/4 - side² = (3.14×20√2×20√2)/4 - 400 =400(3.14 – 2)/2 =200×1.14 =228cm²

    Practice Next

    Relevant for Exams: