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Q. 1) The perimeter of a semicircle is 72 cm. Find the area of a square drawn on itsdiameter.​

Answer»

ANSWER:

  • AREA of square = 2098.55 cm sq (Approx)

Step By Step Explanation:

Given:

  • Perimeter of semicircle = 72 cm

To Find:

  • Area of square drawn on its diameter.

Now, we know that

=> Perimeter of semicircle = πr

=> 72 = 22/7 × r

=> 72 × 7 = 22r

=> 22r = 504

=> r = 504/22

=> r = 22.90 cm.

Now, Diameter = 2R

=> Diameter = 2 × 22.90

=> Diameter = 45.81 cm

Now, we know that square is drawn on diameter. So its diameter be the SIDE of square.

=> Area of square = side × side

=> Area of square = 45.81 × 45.81

=> Area of square = 2098.55 cm sq.

Hence, Area of square = 2098.55 cm sq. (Approx)



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