Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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?
 one year ago
 one year 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?
 one year ago
 one year ago

This Question is Closed

luiszBest ResponseYou've already chosen the best response.0
no more drawings this time
 one year ago

luiszBest ResponseYou've already chosen the best response.0
so how could I rewrite this?
 one year ago

luiszBest ResponseYou've already chosen the best response.0
I need to rewrite as a times pi to the b power
 one year ago

micahwood50Best ResponseYou've already chosen the best response.0
So, the area is π³/4. Rewrite it as π³/4 = aπ^b. Find the a and b.
 one year ago

Mr.MathBest ResponseYou've already chosen the best response.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 \(ab=\frac{3}{4}\).
 one year ago

micahwood50Best ResponseYou've already chosen the best response.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
 one year ago
See more questions >>>
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
 Engagement 19 Mad Hatter
 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.