SOLUTION: Consider an area of cm2 bounded by two concentric circles ( the figure is called an annulus). Determine the radius of the inner circle ( in units of cm) if the outer and the inner
Algebra.Com
Question 207289: Consider an area of cm2 bounded by two concentric circles ( the figure is called an annulus). Determine the radius of the inner circle ( in units of cm) if the outer and the inner diameters of the of the annulus differ by 2 cm.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
: Consider an area of cm2 bounded by two concentric circles ( the figure is called an annulus). Determine the radius of the inner circle ( in units of cm) if the outer and the inner diameters of the of the annulus differ by 2
:
The area of an annulus formula
A =
:
Given that R - r = 2; therefore:
R = (r+2)
;
Substitute (r+2) for r in the annulus formula:
A =
FOIL
A = A =
:
A =
:
A =
:
r + 1 =
:
r = - 1
:
Just substitute the value for A to find r (smaller radius)
RELATED QUESTIONS
Consider an area of cm2 bounded by two concentric circles ( the figure is called an... (answered by stanbon)
A hexagon of side length 4cm has both an inscribed and
a circumscribed circle. What is... (answered by ikleyn)
How do I solve this?
Q. Given two concentric circles, find the length of the radius of... (answered by DrBeeee)
What is the name for the area between two concentric circles, upon which the formula for... (answered by ankor@dixie-net.com)
hello, may you please help me on this following problem?
3.14 = pi
Given two... (answered by MathLover1)
The cross section of a pipe is formed by two concentric circles such that the bigger one... (answered by ikleyn)
An annulus has a 36 cm chord of the outer circle that is also tangent to the inner... (answered by scott8148)
Two concentric circles are drawn so that the inner circle is shaded. The shaded area is... (answered by josgarithmetic)
Two concentric circles are drawn so that the shaded area is equal to the unshaded area.... (answered by ikleyn)