The area of a circular playground …
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Sia ? 6 years, 6 months ago
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} = 22176
⇒ r2 = {tex}\frac { 7 \times 22176 } { 22 }{/tex}
⇒ 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 m
So, Cost of fencing = 50 × 24 × 22 = 26400
Hence, cost of fencing = Rs 26400.
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