Question

Good evening I will be very glad if you could please explain this question

A regular pentagon is such that it vertices lie on the circumference of a circle of radius 4.5cm .Find the length of a side of the Pentagon to the nearest mm

​

Answer 1

Answer:

A regular pentagon means that sides and angles are equal. The measure of an external angle is 360/n. n=5 so the measure of one exterior angle is 72 degrees. Then, the measure of one of the interior angles is 180 - 72 = 108 degrees.

a) The sides of the triangles ending at the vertices of the pentagon will bisect the angles. Also, these triangles will be isosceles because the equal sides will be the radius of the circle. So, we will have two base angles, each measuring 108/2 = 54 degrees. Then, the central angle will measure 180 - (2*54) = 72 degrees

you can change values as per question

Answer 2

Answer:

a. find the measure of each central angle formed by the triangles

b. using trigonometry, find the length of one side of the pentagon

c. find the perimeter of the pentagon

d. find the area of the pentagon.

follow this instruction u will able to solve

• hope this helps you
• be happy and take care
• fllw please
• Mark my answer brainlist