Question

20 points!!!

The figure in the diagram is composed of a semi-circle and an equilateral triangle. Find the total area of the figure.
A)
43.30 cm2
B)
51.4 cm2
C)
78.54 cm
D
82.57 cm

Answer 1

Area of semi circle: you know the radius is 5. 5^2 * pi = 25pi/2 = 12.5pi
For triangle: bh/2 = (10 * 10)/2 = 50
Add them together: 12.5pi + 50
12.5pi = 39.25
39.25 + 50 = 89.25
It’s closest to D

Answer 2

Area of equilateral triangle is =

$\sqrt{3} \div 4 \times s {}^{2}$

Root 3/4*10*10

Root 3/4*100

Root 3*25

25 root 3

Area of semicircle =1/2*22/7*5²

=1/2*22/7*25

(11*25)/7

275/7

=39.28

Adding areas of triangle and semicircle

25 root 3 +39.28