SOLUTION: The radius of a circle is 1 meter longer than the radius of another circle. If their areas differ by 5 pie square meters, then what us the radius of each?
Algebra.Com
Question 148005: The radius of a circle is 1 meter longer than the radius of another circle. If their areas differ by 5 pie square meters, then what us the radius of each?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let =radius of first circle and =radius of second circle
Since the "radius of a circle is 1 meter longer than the radius of another circle", this means that
So the area of the first circle is
Plug in
Foil
The area of the second circle is
Since "their areas differ by 5 pie square meters", this means that
Plug in and
Factor out the GCF
Divide both sides by
Simplify
Combine like terms.
Divide both sides by to isolate .
Reduce.
So the radius of the second circle is 2 meters.
Go back to the first equation
Plug in
Add.
So the radius of the first circle is 3 meters.
note: the two radii can be switched since the problem does not specifically mention the "first" circle or the "second" circle.
RELATED QUESTIONS
The radius of a circle is 1 meter
longer than the radius of another circle. If their... (answered by craigt)
The radius of a circle is 1 meter longer than the radius of another circle. If their... (answered by ankor@dixie-net.com)
The radius of a circle is 1 meter longer than the radius of another circle. If their... (answered by Fombitz)
the circumference of a circle is 6 pie meters. find the radius of the... (answered by stanbon)
If the radius of a circle is decreased by 2 meters, the area of the circle is decreased... (answered by lwsshak3,MathTherapy)
The area of the circle A found by using the formula pie(3.14) radius... (answered by richard1234)
"Suppose that the length of a radius of a circle is the same as the length of a side of a (answered by mananth)
Find the radius of a circle if a 48-meter chord is 7 meters from the... (answered by colliefan)
The radius of one circle is three times the radius of a second circle. Find the ratio of... (answered by mananth)