Answer:
162.12385 cubic inches
Explanation:
Assuming finding the area and circumference of the shaded area.
Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.
Pythag. Theorem says
a^2 + b^2 = c^2
//a and b are the 2 small sides touching to the 90 degree angle
//^2 means squared, or the number multiplied by itself
(16)^2 +(30)^2 = c^2
16x16 + 30x30 = c^2
256 + 900 = c^2
1156 = c^2
Take the square root of both sides to get rid of (^2) from the right side of the equation.
sqrt(1156) = sqrt(c^2)
34 = c
So the longest side is 34 inches.
Coincidentally, this is the diameter of the Half Circle.
The radius = (diameter/2) = 34/2 = 16 inches
radius = 16 in.
Circumference of a Circle formula:
C = 2*pi*r; pi=3.14; r = radius
But this is a half circle, so C = pi*r = 3.14*16 = 50.2654
Now to find the area its a little more work.
Area of shaded part is equal to
Area of half circle minus area of triangle
Area of Circle: pi*r^2
-->since half circle: Area of half circle is: (pi*r^2)/2
Area of triangle: (base*height)/2: (16*30)/2
A of circle - A of triangle
(3.14*16^2)/2 - (16*30)/2
Area of shaded region = 162.12385