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
sweet-ann [11.9K]
3 years ago
14

Find the radius of the circle of the shaded sector has an area of 5pi and a central angle of 2pi/5 rads Please include steps !!!

Mathematics
2 answers:
miskamm [114]3 years ago
7 0

Answer:

5 units

Step-by-step explanation:

Area of sector = ½ × r² × theta

5pi = ½ × r² × 2pi/5

r² = 5pi × 2 × 5/2pi

r² = 25

r = 5

Lerok [7]3 years ago
5 0

Answer:

r=5

Step-by-step explanation:

The area of a sector is found by

A = 1/2 r^2 theta  where theta is in radians

We know the area and we know theta

5pi = 1/2 r^2 (2 pi/5)

5pi = r^2  pi/5

Multiply each side by 5/pi to isolate r^2

5/pi * 5pi = r^2  pi/5 * 5/pi

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 =r

You might be interested in
You have 65% of your homework left to complete. What decimal and fraction represent the amount of homework you have finished?
Maurinko [17]
Percentage of homework that is left to be completed = 65%
Then
The percentage of homework that is already done = (100 - 65) percent
                                                                           = 35 percent
                                                                           = (35/100)
                                                                           = 7/20
                                                                           = 0.35
So the amount of homework that has already been completed can be represented as 7/20 or o.35. Hope this is the answer you were looking for and i have helped you in this matter. Also i hope the procedure is easy enough for you to understand.
7 0
3 years ago
Round 2.127 to the nearest hundredths, tenths and tens
Svetach [21]

Tenths: 2.1       hundredths:2.13        Tens:2

6 0
3 years ago
What is the volume of a cone (in cubic inches) of radius 5 inches and height 3
beks73 [17]

Answer:

78.54 cm^3

Step-by-step explanation:

I think thats the answer

6 0
2 years ago
Marco read that a honey bee can fly up to 2.548meyers per second. he rounded the number to 2.55. to witch place valuedid marcoro
Kay [80]
He rounded to the hundredths place.
4 0
3 years ago
Which is the solution to the inequality y+15 <3?
Paraphin [41]

To solve an equation or inequality, you can add the same value to both sides of the expression. Here, it is convenient to choose that value to be the opposite of the constant (+15) added to y, so that constant is replaced by zero.


  y + 15 - 15 < 3 - 15 . . . . . we have added -15 to both sides

  y < -12 . . . . . . . . . . . . . . . the result of simplifying. This is your solution.

6 0
3 years ago
Other questions:
  • 1,534 divided by 26 =?
    12·2 answers
  • A person has 5 tickets for a concert and she wants to invite 4 of her 8 best friends. How many choices does she have, if two of
    8·1 answer
  • Tips for study better for my classes im junior
    12·1 answer
  • Geometric mean of 16 and 30
    10·2 answers
  • Simplify 45 - 8 + 12 - (-25)
    5·2 answers
  • PLEASE HELP. I'LL GIVE BRAINLIST
    15·2 answers
  • 14x + 6 = 2(5+7x) please help me
    5·1 answer
  • Need a second opinion, click on photo if neccessary ​
    12·2 answers
  • The point P (5, -1) is rotated 270° counterclockwise around the origin.
    13·1 answer
  • Function or not a function?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!