What radius of a circle is required to inscribe a regular hexagon with an area of 64.95 cm2 and a apothem of 4.33 cm

The radius is 5 cm.

Step-by-step explanation:

Given the area of regular hexagon which is inscribed in the circle. we have to find the radius of circle which is required to inscribe a regular hexagon with an area of 64.95 square centimeter and a apothem of 4.33 cm

The apothem of a regular hexagon is a line from the center to the midpoint of one of side of hexagon.

Also, central angle of regular hexagon is of 60° which gives the angle ∠ACO=30°

Given, OC=4.33 cm

In ΔAOC

⇒

⇒

To verify, we find the area of hexagon with the given side=radius=5 cm

a

step-by-step explanation:

strong negative correlation

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!