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A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of ?.

Sagot :

Applying the expression for the circumference of circle, we found the diameter as 16.86 yards

Mensuration of Flat shape

Given Data

  • Circumference = 53 yards
  • Diameter =  d yards

Let us apply the expression for the circumference of a circle

Circumference = 2πr----------1

But r = d/2

hence put r = d/2 in the expression above

Circumference = 2πd/2----------2

Circumference = πd

Substitute our given data

53 = 3.142*d

Make d the subject of formula we have

d = 53/3.142

d = 16.86 yards

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