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The total perimeter of a semicircle Is 20.6 cm. What is the approximate radius of the semi-circle ?
  1. 4 cm
  2. 5cm
  3. 6.6 cm
  4. None of these
Explanation

Perimeter = πr + 2r

where:


π is a mathematical constant approximately equal to 3.14159

r is the radius of the semicircle

In this problem, we know the total perimeter is 20.6 cm. So we can set up the equation:


20.6 = πr + 2r

To solve for r, we can factor out r on the right side:


20.6 = r(π + 2)

Then, we can divide both sides by π + 2 to isolate r:


r = 20.6 / (π + 2)

Using a calculator to evaluate this expression, we get:


r ≈ 4.0 cm

Therefore, the approximate radius of the semicircle is 4 cm.

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