Use the formula C=2pi to find the radius, r, for a circle with a circumference of 160 centimeters. Round your answer to the nearest hundredth.
a) 50.96 cm
b) 28.08 cm
c) 25.48 cm
d) 80.00 cm
When I tried to solve this problem, I never got any of these answers; I got 251.32, approx. Can you show me the correct answer and how you got it? Thanks! :)
Hmmm. Did you wonder why the radius of the circle was bigger than the circumference? That can't be, at least here in Texas.
C=2Pi*r
r=C/2PI
Yes, that is the equation that I'm using, but it's still not working, I don't understand why.
Multipy 2*PI= 6.28..
divide that into 160
In my head, six into 160 is about 26
Certainly! Let's work through the problem step by step.
The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.
Given C = 160 centimeters, we can solve for r using the formula C = 2πr.
160 = 2πr
To find the radius, we need to isolate r by dividing both sides of the equation by 2π:
r = 160 / (2π)
Now we can evaluate this expression on a calculator.
Using an approximation of π as 3.14, we have:
r = 160 / (2 * 3.14)
r ≈ 160 / 6.28
r ≈ 25.48
So the radius rounded to the nearest hundredth is 25.48 centimeters.
From the answer choices you provided, option c) 25.48 cm is the correct answer. It seems there might have been a mistake in your calculations leading to the different answer you obtained.