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
ycow [4]
3 years ago
15

HELP EXPLAIN STEP BY STEP In a circle whose radius is 8, the length of an arc of the circle is 2π. In radians, what is the measu

re of the central angle subtended by the arc?
Mathematics
2 answers:
Travka [436]3 years ago
8 0
Arc length = rθ    [r = radius of the circle, θ = central angle in radians]  ⇒

2π = 8*θ   ⇒   θ = 2π/8 = π/4
Alex787 [66]3 years ago
8 0

Answer:

\frac{\pi}{4}

Step-by-step explanation:

We have been given that the radius of a circle is 8 and the length of an arc of the circle is 2π. We are asked to find the measure of central angle subtended by the arc in radians.

We know that the arc length of a circle is equal to central angle times the radius of circle.

\text{ Arc length}=\theta\cdot r

2\pi =\theta\cdot 8

\frac{2\pi}{8}=\frac{\theta\cdot 8}{8}

\frac{\pi}{4}=\theta

Therefore, the measure of central angle is \frac{\pi}{4} radians.

You might be interested in
1. For the function f(x) = 3x + 1, find f(-2). (substitute -2 in for x)
puteri [66]

Answer:

f(-2) = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

f(-2) is x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(-2) = 3(-2) + 1
  2. Multiply:                               f(-2) = -6 + 1
  3. Add:                                     f(-2) = -5
4 0
3 years ago
Please answer all of these
FromTheMoon [43]
What’s the questions
7 0
3 years ago
Read 2 more answers
in a study 44 of adults questioned reported that their health was excellent. a researcher wishes to study the health of people l
dlinn [17]
Where's the question? We have some data...but no question
6 0
3 years ago
Anita and Susanna are in a 5-mile bike race. The graph
olga2289 [7]

Answer: she stopped to change a flat tire

Step-by-step explanation:

6 0
3 years ago
Can you please help me
Xelga [282]

Step-by-step explanation:

there is the answers for this one

5 0
3 years ago
Other questions:
  • Explain how you know that 7/12 is greater than 1/3 but less t than 2/3
    15·1 answer
  • PLZ HELP FAST!!! (test)​
    11·2 answers
  • A spinner with 11 equal-sized sections numbered 1 to 11 is spun once. What is the probability that the spinner will land on a nu
    12·1 answer
  • What could cause the graph to be misleading?
    11·1 answer
  • Is -13 a natural number whole number integer rational number irrational number or a real number
    9·1 answer
  • Use graphing to find the solutions to the system of equations.
    11·1 answer
  • Fine the area of the parallelogram. Please help ASAP!! Right answer gets brainliest
    8·1 answer
  • Please help answer these, thank you
    10·1 answer
  • A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the numbe
    13·1 answer
  • Subtract (5u + 6v) from (8u + 10v)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!