A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to the nearest tenth. Show all of your work.

The area of the figure is 9.5 square units

Area of the figure = area of the semicircle + area of triangle;

The height of the triangle is calculated as:

h^2 = 5^2 - 4^2

h = √25 - 16

h = 3

Area of the figure = π(3)²/8 + 1/2(3(4)

Area of the figure = 3.5325 + 6

Area of the figure = 9.5 square units

Learn more on area here: link

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

so

we have

Find the height of the right triangle applying the Pythagorean Theorem

The radius of the semicircle is half the height of triangle

substitute in the formula

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.