Q45

0. The area of a triangle is equal to the area of a circle whose perimeter is 6Π cm. If the base of the triangle is 8cm, then its corresponding height (in cm) is

  • Option : D
  • Explanation : Perimeter of circle = 2Πr
    ⇒6Π = 2Πr r - 3cm
    Area of circle= Πr2 = Π(3)2
                                           =9Π cm2 ....(i)
    Since Area of Triangle = Area of a circle (given)
    ⇒ 1/2 x base x height = 9Π
    (put the value of Eq(i) i.e., A=9Π)
    ⇒ 1/2 x 8 x h=9Π
    ⇒ h=9Π x 2/8
    ⇒ h=9/4 Π
    ⇒ h=2.25Π
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