Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

luisz

  • 2 years ago

If the area of a circle whose diameter is pi, is written as a times pi to the b power, what is the value of ab?

  • This Question is Closed
  1. luisz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no more drawings this time

  2. luisz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got pi cubed/4

  3. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yep

  4. luisz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so how could I rewrite this?

  5. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    rewrite what?

  6. luisz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    pi cubed/4

  7. luisz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I need to rewrite as a times pi to the b power

  8. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So, the area is π³/4. Rewrite it as π³/4 = aπ^b. Find the a and b.

  9. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You know the area of a circle is \(\pi r^2\), where \(r\) is the radius of the circle. In this case we have \(r=\frac{\pi}{2}\). Thus the area, call it \(A\), is \(A=\pi(\frac{\pi}{2})^2=\frac{1}{4}\pi^3.\) Now if we set this \(A=a\pi^b=\frac{1}{4}\pi^3.\) Then we have \(a=\frac{1}{4}\) and \(b=3\). So \(ab=\frac{3}{4}\).

  10. luisz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  11. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You asked me why a should be 1/4, not 4. It's because 4 is in denominator, so it is 1/4. π³/4 = (1/4)π³

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.