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Ostrovityanka [42]
2 years ago
13

A regular pentagon has sides of 10 cm. Find the radius of the largest circle which can

Mathematics
1 answer:
aliina [53]2 years ago
7 0

Answer is 6.88 cm

Divide the pentagon radially into five congruent, isosceles triangles. Each triangle has a vertex angle of 360°÷5=72° and altitude of 5÷tan(36°).

radius of circle = 5÷tan(36°) = 6.88 cm

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