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