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
Arisa [49]
3 years ago
14

What is the area of the shaded region

Mathematics
1 answer:
xeze [42]3 years ago
6 0

<u>Given</u>:

Given that the radius of the circle is 12 cm.

The length of the rectangle is 11 cm.

The width of the rectangle is 5 cm.

We need to determine the area of the shaded region.

<u>Area of the rectangle:</u>

The area of the rectangle can be determined using the formula,

A_1=length \times width

Substituting the values, we have;

A_1=11\times 5

A_1=55 \ cm^2

Thus, the area of the rectangle is 55 square cm.

<u>Area of the circle:</u>

The area of the circle can be determined using the formula,

A_2=\pi r^2

Substituting r = 12, we have;

A_2= (3.14)(12)^2

A_2=452.16 \ cm^2

Thus, the area of the circle is 452.16 square cm.

<u>Area of the shaded region:</u>

The area of the shaded region can be determined by subtracting the area of the rectangle from the area of the circle.

Thus, we have;

Area = Area of the circle - Area of the rectangle.

Substituting the values, we have;

Area=452.16-55

Area=397.16 \ cm^2

Thus, the area of the shaded region is 397.16 square cm.

You might be interested in
What is the value of the expression?<br><br> 53/5+7/10−22/3
Vanyuwa [196]
119/30 or 3.96 or 3 29/30

Explanation:
First write all numerators above the least common denominator (in this case 30)


Then calculate the sum or difference
6 0
2 years ago
Rewrite the following quadratic functions in intercept or factored form. Show your work.
Dmitry [639]

<u>Answer: </u>

f(x) = 3(x+2)(x-2)

<u>Step-by-step explanation: </u>

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

f(x) = 3x^2 - 12

We can factorize the given function so taking the common factors out of it to get:

f(x)=3x^2 - 12

f(x) = 3 (x^2 - 4)

The term (x^2-4) is in the form a^2-b^2 so it can further be factorized to give:

f(x) = 3 (x+2)(x-2)

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).


7 0
2 years ago
Read 2 more answers
Identify the percent of change as an increase or a decrease 20 to 30.
Snowcat [4.5K]

Answer:

50% increase.

Step-by-step explanation:

(New Value - Initial Value)/(Initial Value) * 100 = percentage increase or decrease

(The formula)

4 0
3 years ago
Jim’s pay is £180 each week.
irina [24]

increases by 11.1% and his raise £18 and £2 less than what he wants

8 0
2 years ago
Who could help me solve this
Monica [59]
6561 hope this helps 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Clark is having a party at his house. His father has allowedhim to spend at most $20 on snack food. He’d like to but chips that
    14·1 answer
  • Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much
    14·2 answers
  • the function y=3.28x converts length from x meters to y feet Im really stuck im not real sure what to do
    12·1 answer
  • BRAINLIESTTT. ASAP! PLEASE HELP ME :)
    6·1 answer
  • Ms. Adams received a bonus check for $12,000. She decided to divide the money among three different investments. With some of th
    5·2 answers
  • -8 x (-8) Please help
    5·1 answer
  • Examples of professions where similar triangles and their proportional relationships are used.
    8·1 answer
  • A particle travels along a straight line with a velocity of v(t) = e^t cos(3t) meters per second. What is the total distance, in
    5·1 answer
  • What is the slope of the line represented by the equation y - 3x=1?
    5·1 answer
  • What is 5+2????????????????/
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!