Aregular hexagon is inscribed inside a circle. the perimeter of the hexagon is 90 units. what is the approximate measure of the radius of the circle?

A regular hexagon is inscribed in a circle as shown in the attached image.

Let side of regular hexagon be 'x'. So, each side of hexagon is 'x'.

Now, Perimeter of hexagon = 90 (GIVEN)

Perimeter of hexagon = Sum of all its sides

90=x+x+x+x+x+x

90=6x

So, x=15 units. Therefore, each side of regular hexagon is 15 units.

Join each vertex of the hexagon to its opposite vertex. The point of intersection of these lines is center of the circle say O.

Since, sum of all angles in a regular hexagon is 720 degrees. In regular hexagon each angle is equal. Let each angle be 'y'

y+y+y+y+y+y=

6y=

y=120 degrees

Since,

Similarly

Therefore, (by angle sum prop)

Here triangle AOF is an equilateral triangle.

So, each side of triangle AOF is equal which is 15 units.

So, the radius is 15 units.

its d. the first coordintaes are 10,32

step-by-step explanation:

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.