Subject

    Bank Exam

    Topic

    বাংলাদেশ ব্যাংক (সহকারী পরিচালক) - ২০.১০.২০২৩

    A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. what is the area of the circle?

    ক)
    1250 sq. cm
    খ)
    616 sq. cm
    গ)
    154 sq. cm
    ঘ)
    88 sq. cm

    Explanation

    Perimeter of the rectangle =2(18 + 26) = 88 cm ∴ Circumference of circle = 88 cm ⇒ 2πr = 88 ⇒ r = 88/2π ⇒ r = (88 × 7)/(2 × 22) ∴ r = 14 cm ∴ Area of circle = πr 2 = (22/7) × (14) 2 = 616 sq. cm

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