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The perimeter of a regular pentagon inscribed in a circle with radius 10 cm.

Mathematics

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Here are the solutions for questions 103 and 104.

Question 103:
The perimeter of a regular pentagon inscribed in a circle with radius 10 cm.
A regular pentagon has 5 equal sides. When inscribed in a circle, we can divide it into 5 congruent isosceles triangles, with the center of the circle as their common vertex.
The central angle for each triangle is 360∘5=72∘\frac{360^\circ}{5} = 72^\circ.
Let ss be the side length of the pentagon and rr be the radius of the circle.
Consider one of these isosceles triangles. We can draw an

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