Aregular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters. what is the approximate area of the regular pentagon? 288 cm2 342 cm2 432 cm2 691 cm2

432cm2

step-by-step explanation:

the area of a regular pentagon is given by a=(5*l*ap)/2

we have the following: l=14.1cm and ap=12m

note: the apothem is the shortest distance between the center of the pentagon and any of its sides (like de radius).

we replace the formula:

a= (5*14.1cm*12cm) / 2 = 846cm2 / 2 = 423cm² ≈ aprox 432cm²

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi