C is the answer for this question
Answer: 84.14
Step-by-step explanation:
Area of the rectangle is L*W=B*H
14*5=70
To find the area of the half circle we must use the formula pi r^2/2
r=radius
and the radius is 6 because we add 4 and 4 and need to get to 14
because the line below it is 14 and it is a rectangle so the lengths are the same.
Diameter=6
So radius =3
pi (3)^2/2=
9/2 pi + 70=
84.14
Easy peasy
remember that the arc is a part of the perimiter of the circle aka circumference
also 360 degrees=circle
we are given the radius
calculate circumference
c=2pi times r
r=14
c=pi times 2 itimes 14
c=28pi
100 degrees is the arc
find what fraction of the circumferece thei srepresents
whole=360
100/360=10/36=5/18
so if circumference=28pi then multiply 5/18 by that
5/18 times 28pi=140pi/18=70pi/9
legnth=(70pi)/9 cm
if you were to aprox pi to 3.14 then the answer would be
24.4222222 cm