If a pentagon has a radius of 16 find the perimeter

Answer:

94.05 units is the perimeter of this pentagon.

Length of each side in pentagon: 2r × Sin(180/n)

                                 where r is radius and n is number of sides

Using the formula: 2r × Sin(180/n)

                              : 2*16 * sin(180/5)

                              : 18.8 units

Perimeter = 5(18.8) units5 as we know pentagon has 5 sides

                 = 94.05 units

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.