SOLUTION: problem given by teacher from a worksheet 3 circles on the same straight line, the 1st with a radius of 16 cm, the 2nd with a radius of 9cm, is there a way to find the radius of t

Algebra ->  Circles -> SOLUTION: problem given by teacher from a worksheet 3 circles on the same straight line, the 1st with a radius of 16 cm, the 2nd with a radius of 9cm, is there a way to find the radius of t      Log On


   

Question 39826: problem given by teacher from a worksheet
3 circles on the same straight line, the 1st with a radius of 16 cm, the 2nd with a radius of 9cm, is there a way to find the radius of the 3rd circle which sits in between the other two?
thank you
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
PROBLEM IS NOT SPECIFIC.....SEE BELOW
3 circles on the same straight line...
MEANS WHAT?...CENTRES ON SAME LINE?ASSUMING SO...
, the 1st with a radius of R1=16 cm,
OK
the 2nd with a radius of R2=9cm,
WHARE?INSIDE THE OTHER CIRCLE?HOW FAR ?OR TOUCHING?OR OUT SIDE?HOW FAR?
is there a way to find the radius of the 3rd circle which sits in between the other two?
IF THE ABOVE 2 ARE CLARIFIED WE CAN ..
IF 2 CIRCLES ARE SUCH THAT THEIR CENTRE ARE AT A DISTANCE (D)WHICH IS MORE THAN 16+9=25 CM AWAY...SAY...30 CM..THEN WE CAN DRAW A CIRCLE OF 5 CM DIA OR 2.5 CM RADIUS TOUCHING BOTH
.IN GENERAL IF D >R1+R2...WE CAN DRAW A CIRCLE OF RADIUS ={D-(R1+R2)}/2
ON THE OTHER HAND IF THE 2 CIRCLES ARE SUCH THAT THEIR CENTRES ARE AT DISTANCE (D)WHICH IS LESS THAN 16-9=7 CM AWAY...SAY...5 CM..THEN WE CAN DRAW A CIRCLE OF 2 CM DIA OR 1 CM RADIUS TOUCHING BOTH
.IN GENERAL IF D