1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maru [420]
3 years ago
13

Please help with geometry

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0
It's a equilateral triangle. The area of the white region is the area of a sector minus the area of a triangle.
\dfrac{60^o}{360^o}=\dfrac{1}{6}
The sector is 1/6 of the circle, therefore the area of the sector is 1/6 of area of the circle.
The formula of an area of the circle: A_O=\pi r^2

The area of the sector:
A_s=\dfrac{1}{6}\cdot\pi\cdot12^2=\dfrac{1}{6}\pi\cdot144=24\pi\ m^2
The formula of an area of the equilateral triangle: A_\Delta=\dfrac{a^2\sqrt3}{4}
A_\Delta=\dfrac{12^2\sqrt3}{4}=\dfrac{144\sqrt3}{4}=36\sqrt3\ m^2

The area of the segment:
A_{sg}=A_s-A_\Delta\to A_{sg}=(24\pi-36\sqrt3)m^2

The area of the shaded region:
A=A_O-A_{sg}\to A=144\pi-(24\pi-36\sqrt3)=144\pi-24\pi+36\sqrt3\\\\=\boxed{A=(120\pi+36\sqrt3)m^2}

You might be interested in
Question 2 of 7
slamgirl [31]
2 times 8 x 12

192

2 times 5 x 8

80

2 times 12 x 5

60

192+80+60=332 ft^2
8 0
3 years ago
Read 2 more answers
How do you know whether two quantities x and y are proportional?
ANEK [815]

Answer:

I'm pretty sure it is (a)

8 0
3 years ago
Read 2 more answers
At the carnival, 3 rides on the MoonCoaster cost $21. How much<br> do 5 rides cost?
Bogdan [553]

Answer:

$35 dollars

Step-by-step explanation:

So we know that 3 rides costs $21. If you then take 21/3 you get 7, you're then going to take 7x5 and you will get 35. Therefore 5 rides on the MoonCoaster cost $35. Hope this helps!

4 0
3 years ago
Read 2 more answers
7/8 of 16 = what with work
trapecia [35]
7/8times16/1 gives 112/8, which is 14.
you multiply both numerators over both denominators.
3 0
3 years ago
Read 2 more answers
One over four (4x + 15) = 24
kiruha [24]

Answer:

x = 20 1/4

Step-by-step explanation:

1/4 (4x + 15) = 24

x + 3 3/4 = 24

x = 20 1/4

3 0
3 years ago
Read 2 more answers
Other questions:
  • Flying against the wind, an airplane travels kilometers in hours. Flying with the wind, the same plane travels kilometers in hou
    11·1 answer
  • What is the answer to 18-4K=-10-4k?
    8·1 answer
  • I need help with this homework to practice for a quiz may you please help me ?​
    11·1 answer
  • At what position does the ball have its maximum potential energy
    10·2 answers
  • alicia rides her bike 4 miles due north and 3 miles due west to a playground. What is the shortest distance to alicias home from
    7·1 answer
  • I HAVE UNTIL 3:30 PLZ HELPPPP 40 POINTS AND BRAINLIEST
    15·1 answer
  • Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
    14·1 answer
  • Please help!! i need help with numbers 3 and 4.
    5·2 answers
  • What is the arc length of the crust of half of a pizza that is 6 inches in diameter? show all work
    13·1 answer
  • The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!