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The perimeter of a semi circle is 144 cm then the radius is?

  • A.25 cm
  • B.28 cm
  • C.30 cm
  • D.35 cm

Answer: B

\[ P = r(\pi + 2) = r \times \frac{36}{7} \]

\[ 144 = \frac{36r}{7} \quad\Longrightarrow\quad r = \frac{144 \times 7}{36} = 28 \text{ cm} \]

Using \( \pi r \) alone would give \( r = 45.8 \) cm - the diameter is part of a semicircle's boundary and must be included.

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