The perimeter of a regular polygon is 60 cm, and the radius of the inscribed circle is 8 cm. Find the area of this polygon.
| April 5, 2021 | education
From the school geometry course, we well know that the area of a polygon can be calculated using the following formula:
S = P * r: 2, where P is the perimeter of the specified polygon, and r is, respectively, the radius of the circle that was inscribed in it.
Let us determine what value the area of a given polygon will correspond to, when it is precisely known from the condition of our problem that its perimeter is 60 cm, with a radius of a circle equal to 8 cm:
60 * 8: 2 = 240.
Answer: 240 cm2.
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