ABCDEF is a regular hexagon with sides of length x. This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK.
Show that the area of the shaded region in the diagram is given by
3√3 ÷2
(p^2 — 1)X^2

​

answer: it is d

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