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
PilotLPTM [1.2K]
2 years ago
9

A sector of a circle has an arc length of pi cm and a central angle of pi over 6 radians. What is the area of the sector?

Mathematics
1 answer:
liberstina [14]2 years ago
4 0

Answer:

Area of sector is 6pi cm^2

Step-by-step explanation:

Mathematically pi radians is 180 degrees

thus pi/6 radians is 180/6 = 30 degrees

The formula for the length of an arc is;

theta/360 * 2 * pi * r

where theta in this case is 30 degrees

And the arc length is pi

so we have

30/360 * 2 * pi * r = pi

30/360 * 2 * r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

theta/360 * pi * r^2

30/360 * pi * 36

= 6pi cm^2

You might be interested in
PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!
Gelneren [198K]

Answer:

4.2

Step-by-step explanation:

closest to what I counted 3

8 0
3 years ago
Find the value of a and of b for which<br>(a) the solution of x2 + ax &lt; b is<br>-2&lt;x &lt; 4​
KengaRu [80]

Answer: a = -2

b = 8

Step-by-step explanation:

Given :

x^{2} +ax

re - writing the equation , we have

x^{2} +ax-b

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

x^{2} - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

x^{2} -2x-8=0 , which could be written in inequality form as

x^{2} -2x-8

comparing with x^{2} +ax-b , it means that :

a = -2

b = 8

3 0
3 years ago
What is the least common multiple (LCM) of 8 and 14?
DENIUS [597]

Answer:

56

Step-by-step explanation:

hi I am from India nice to meet you bro

6 0
3 years ago
Read 2 more answers
A case of twenty-four 7.8 ounce containers of Greek yogurt costs $12.99.
Paraphin [41]

Answer:

Cost per ounce = $0.07 (7 cents per ounce)

Step-by-step explanation:

Each container is 7.8 ounces and there are 24 of them in a case.

<u>Total weight</u> in ounce of the case is:

7.8 * 24 = 187.2 ounces

It costs $12.99 for the case, which contains 187.2 ounces. We find the cost per ounce of yogurt by dividing the total cost by total ounces in the case.

12.99/187.2 = 0.0693

Rounded to nearest cent (2 decimal places), that would be:

Cost per ounce = $0.07 (7 cents per ounce)

6 0
3 years ago
(5) I already know the answer but I'm pretty sure you guys would like some points so just trying to figure it out
Andrews [41]

Answer:

I'm going to imagine the answer is math

3 0
3 years ago
Other questions:
  • A student recorded the following animal weights: 25 pounds, 16.2 pounds, and 33 pounds. What is the appropriate level of accurac
    10·1 answer
  • C/4-5=4<br> btw c is over 4.<br> PLEASE HELP THE FIRST ANSWER WILL GET BRAINLIEST ANSWER!!!!
    5·2 answers
  • Need help on number 4 and 11 pleaseee!!! I need it as soon as possible
    9·1 answer
  • X 3 4 x is 1/2 idk it .. if you can help thank you so much it’s math .
    5·1 answer
  • What’s the solution for this 4(1-x)+2x=-3(x+1). ?
    11·2 answers
  • Please help (pre algebra)
    8·2 answers
  • WILL GIVE EXTRA POINTS<br>Assignment name: Segment Addition ​
    13·2 answers
  • The area of the large rectangle is twice the area of the small rectangle. What is the value of x?Two rectangles are shown. The l
    7·1 answer
  • Mrs. Greer is organizing a breakfast party for her office of 240 employees. She wants to buy enough donuts so that everyone can
    12·2 answers
  • Don’t understand this question will give brainless thing
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!