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Answer :

The perimeter of the sector = 47.905 cm

47.905 cm is greater than 47.5 cm.

What is the Perimeter of a Sector?

Perimeter of a sector = Arc length + 2(radius).

Arc length = ∅/360 × 2πr

Given the following:

  • r = 11 cm
  • ∅ = 135°

Perimeter = (∅/360 × 2πr) + 2(r) = (135/360 × 2×π×11) + 2(11)

Perimeter = 25.905 + 22

Perimeter = 47.905 cm

Thus, the perimeter of the sector (47.905 cm) is greater than 47.5 cm.

Learn more about the perimeter of a sector on:

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