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
scoundrel [369]
3 years ago
6

A circle with radius 9 has a sector with a central angle of 120°.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.

A circle with radius 9 has area 9^2 π = 81π.

So the sector has area 81π/3.

Put another way: The area <em>A</em> of a circular sector and its central angle <em>θ</em> (in degrees) occur in the same ratio as the area of the entire circle with radius <em>r</em> according to

<em>A</em> / <em>θ </em>º = (π <em>r </em>^2) / 360º

==>  <em>A</em> = π/360 <em>θ r</em> ^2

In this case, <em>r</em> = 9 and <em>θ</em> = 120º, so

<em>A</em> = π/360 * 120 * 81 = 81π/3

You might be interested in
Solve this formula for the velocity for (d)<br><br> Show your work
Vinvika [58]

Answer:

d = vt

Step-by-step explanation:

Step 1: Write equation

v = d/t

Step 2: Multiply both sides by t

vt = d

Step 3: Rewrite

d = vt

7 0
3 years ago
3. A space shuttle in orbit travels about 60,000 kilometers in two hours. What is its average
Travka [436]

Answer:

30,000 is your answer for ur math problem

4 0
3 years ago
Make x the subject of the formula y=x/a
anyanavicka [17]
X = ay


Hope this helps


Mark brainliest please
8 0
2 years ago
Read 2 more answers
What if i=radical -1, what is the value of i^3
aleksklad [387]

\bf i^3\implies \sqrt{-1}\cdot \sqrt{-1}\cdot \sqrt{-1}\implies (\sqrt{-1})^2\sqrt{-1}\implies \sqrt{(-1)^2}\cdot \sqrt{-1} \\\\\\ -1\cdot i\implies \boxed{-i}

6 0
3 years ago
Their are 5280 feet in 1 mile. How many inches are there in 4 miles
schepotkina [342]

Answer:

21120

Step-by-step explanation:Because you take 5280 and multiply it by 4

7 0
3 years ago
Other questions:
  • Need help I’m don’t know how
    14·1 answer
  • a teacher had 21 red pens. if the ratio of red pens to blue pens owned was 3:1 how many pens did she have in total
    12·1 answer
  • Consider the polynomial 16x2 – 1. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add t
    11·2 answers
  • The geometric mean between 1/2 and 2/5 <br> Thanks!
    8·1 answer
  • This graph shows the temperature on a winter night over time. How many °F does the temperature decrease by every 1 hr?
    8·2 answers
  • PLEASE HELP ME I AM STUCK PLEASE PLEASE PLEASE
    10·2 answers
  • One of the two conditions for equilibrium states that the sum of the torques around every possible center of rotation must be eq
    9·1 answer
  • Is 1 ton bigger than 3,400 pounds
    6·2 answers
  • Linear, Quadratic, or Exponential?<br><br> - Linear<br> - Quadratic<br> - Exponential
    9·1 answer
  • Please help i need to finish this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!