Question

the area of circle is 3850 cm2. Find the area of a square inscribed in this circle.​

Answer 1

Step-by-step explanation:

Let r cm be the radius of a circular park , its area = π.r^2 , accordingly:-

π.r^2 = 3850

or. r^2 = 3850×(7/22) = (5×7)^2.

or. r = 35 cm.

Circumference of the park = 2.π.r = 2×(22/7)×35 cm. = 220 cms.

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Answer 2

Answer:

The area of a square inscribed in this circle is 2450 cm²

Step-by-step explanation:

• The area of the circle is $\pi r^2$
• The area of the square is $x^2$
• Pythagoras theorem is   $H^2=P^2+B^2$

Step 1 of 2:

• Let r is the radius of a circle.
• The area of the circle is 3850cm².
• The Formulae of the area of the circle is $\pi r^2$
• Equating both areas,

      $\pi r^2 =3850\\r^2=1225\\r=35$

• The diameter of the circle is 70 cm.

Step 2 of 2:

• The length of a square inscribed in a circle is x cm.
• The diameter of the circle becomes diagonal of the square.

• Length of diagonal is given by Pythagoras theorem

       $l^2=x^2+x^2\\l^2=2x^2$

• Putting the length of the diagonal in the above equation

         $70^2=2x^2\\4900=2x^2\\\frac{4900}{2} =x^2\\\\x^2=2450$

• The area of a square inscribed in this circle is 2450 cm²