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Show that the radius of a shooting circle is 9m if its area is 107.17m² and pi is 3.14.

Mathematics

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Step-by-step solution

2 steps

2.1.1
The area of a semi-circle is given by the formula A=12πr2A = \frac{1}{2} \pi r^2.
We are given that the area of one shooting circle is 107.17 m2107.17 \text{ m}^2 and π=3.14\pi = 3.14. We need to show that the radius rr is 9 m9 \text{ m}.

  1. Substitute the given area and π\pi value into the formula to solve for rr.

    107.17=12×3.14×r2107.17 = \frac{1}{2} \times 3.14 \times r^2
  2. Multiply both sides by

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