Question

if area of circularpath is 160m2 find the perimeter of circularpath
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Answer 1

Answer:

The perimeter of circular path is 44.82 m.

Step-by-step-explanation:

We have given that,

Area of circular path = 160 m²

We have to find the perimeter of circular path.

Let the radius of the circular path be r m.

We know that,

Area of circular path = πr²

⇒ 160 = ( 22 / 7 ) * r²

⇒ r² = 160 * 7 / 22

⇒ r = √( 160 * 7 ) / √22

⇒ r = √( 16 * 10 * 7 ) / √22

⇒ r = 4 √70 / √22

⇒ r = 4 √70 / √22 * √22 / √22

⇒ r = 4 √70 * √22 / 22

⇒ r = 4 √1540 / 22

⇒ r = 2 √1540 / 11

⇒ r = 2 √( 4 * 385 ) / 11

⇒ r = 2 * 2 √385 / 11

⇒ r = 4 √385 / 11

• √385 = 19.621

⇒ r = 4 * 19.621 / 11

⇒ r = 78.484 / 11

⇒ r = 7.134

⇒ r ≈ 7.13 m

Now,

Perimeter of circular path = 2 πr

⇒ Perimeter of circular path = 2 * ( 22 / 7 ) * 7.13

⇒ Perimeter of circular path = 2 * 22 * 7.13 / 7

⇒ Perimeter of circular path = 44 * 7.13 / 7

⇒ Perimeter of circular path = 313.72 / 7

⇒ Perimeter of circular path = 44.817

⇒ Perimeter of circular path ≈ 44.82 m

∴ The perimeter of circular path is 44.82 m.