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
bogdanovich [222]
3 years ago
6

The diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of t

he semi circle BD is an arc of a circle with the centre A. Find the area of the shaded region giving your answer in terms of pie. you must show your working, clearly stating the area of the semi circle.
I got 1 out of 4 Marks for pie/8 which equalled the shaded region over the area of the square but I have no clue for the area of the semi circle​

Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

Area of Shaded Region =50\pi$ cm^2

Area of Semicircle =50\pi$ cm^2

\dfrac{\text{Area of Shaded region}}{\text{Area of Square}}=\dfrac{ \pi}{8}

Step-by-step explanation:

Area of Shaded Region = Area of Sector - Area of Semicircle

<u>Area of Sector</u>

Radius of the sector =20cm

=\frac{90}{360}X\pi *20^2\\ =100\pi cm^2

<u>Area of Semicircle</u>

Since AB is the diameter of the semicircle

Radius of the Semicircle=20/2=10cm

Area of semicircle

=\frac{\pi r^2}{2}\\ =\frac{\pi *10^2}{2}\\=50\pi cm^2

Therefore, area of Shaded Region

=100\pi -50 \pi\\=50\pi$ cm^2

Area of Square =20 X 20 =400 cm^2

\dfrac{\text{Area of Shaded region}}{\text{Area of Square}} \\=\dfrac{50 \pi}{400} \\=\dfrac{ \pi}{8}

You might be interested in
If someone can explain this I will greatly appreciate it. I don’t really understand it.
erma4kov [3.2K]

Answer:

The second answer choice.

Step-by-step explanation:

6 0
2 years ago
Expand the expression and combine like terms:<br> 20(−1.5r+0.75)
PtichkaEL [24]
20( -1.5r + 0.75)
Multiply everything by 20

= -30r + 15
4 0
2 years ago
Read 2 more answers
What is the coefficient in the expression? 3(mx)4 + 5
Goryan [66]
3 is the answer to your question 
7 0
3 years ago
Read 2 more answers
Complete the paragraph proof. Given: ∠ABR and ∠ACR are right angles AB ≅ BC BC ≅ AC Prove: bisects ∠BAC
dolphi86 [110]

The answer is <BAR ≅<CAR :)

8 0
3 years ago
Read 2 more answers
11. Cammen measured a room to be
Brut [27]

Answer:

120.0

i hope this helped! please mark me as brainliest and 5 stars >:)

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Michelle is building shelves for her room. She has a plank 137 inches long that she wants to cut into 7 shelves of equal length.
    13·2 answers
  • From the passage best
    15·1 answer
  • In the figure shown angle 1 has a measure of 90° and angle 2 has a measure of 38° find the measure of the remaining angles
    7·1 answer
  • the area of a rectangle is 90 in2^. the ratio of the length to the width is 5:2. find the length and the width
    11·1 answer
  • Help please
    11·1 answer
  • Suppose your friends have the following ice cream flavor preferences: 70% of your friends like Chocolate (C). The remaining do n
    14·1 answer
  • What would the answer be for this equation? 3a^3b^2x2a^2b^5
    7·2 answers
  • Answer this, i need help
    15·2 answers
  • How many eighths are in 1/3?
    13·1 answer
  • Please help………………………..
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!