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CBSE Class 10 Answered

Asked by Topperlearning User | 31 Aug, 2017, 01:47: PM
answered-by-expert Expert Answer
 
begin mathsize 12px style The space circles space touch space internally comma
difference space of space their space radii equals distance space between space their space centres space equals space 6 space cm
Let space the space radii space of space the space given space circles space be space straight r space cm space and space straight r plus 6 space cm
Sum space of space their space areas equals πr squared plus straight pi open parentheses straight r plus 6 close parentheses squared equals straight pi open square brackets straight r squared plus open parentheses straight r plus 6 close parentheses squared close square brackets
straight pi open square brackets straight r squared plus open parentheses straight r plus 6 close parentheses squared close square brackets equals 116 straight pi
straight r squared plus open parentheses straight r plus 6 close parentheses squared equals 116
2 straight r squared plus 12 straight r minus 80 equals 0
open parentheses straight r plus 10 close parentheses open parentheses straight r minus 4 right parenthesis close parentheses equals 0
straight r equals 4 space neglecting space the space negative space value space as space radius space cannot space be space negative.
The space radii space of space the space two space circles space are space 4 space cm space and space 10 space cm. end style
Answered by | 31 Aug, 2017, 03:47: PM
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