The area of a circular playground is 22176 cm square find the cost of fencing at rate RS50 PER METRE

The area of a circular playground is 22176 cm square find the cost of

1.	The area of a circular playground is 22176 cm square find the cost of fencing at rate RS50 PER METRE
Answer» Fencing is made on circumference (2πr) of circular field. So, we require radius for it.Area of the circular playground = 22176 m2⇒ πr2 = 22176⇒ {tex}\\frac { 22 } { 7 } r ^ { 2 }{/tex}\xa0= 22176⇒ r2 = {tex}\\frac { 7 \\times 22176 } { 22 }{/tex}\xa0⇒ r2 = {tex}\\sqrt { 7 \\times 1008 }{/tex}⇒ r = {tex}\\sqrt { 7 \\times 7 \\times 3 \\times 3 \\times 2 \\times 2 \\times 2 \\times 2 }{/tex}⇒ r = 7 × 3 × 2 × 2⇒ r = 84 m∴ Length of fencing = Circumference of circle= 2πr = 2 × {tex}\\frac { 22 } { 7 }{/tex}× 84 = 24 × 22 mSo, Cost of fencing = 50 × 24 × 22 = 26400Hence, cost of fencing = Rs 26400.