Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle.

Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle.

Answers (1)

best_answer

According to question

Given : AC = 8 CM
OC = 5 CM
AC = AB+BC
8 = BC+BC    (\because AB =BC)
BC = 4CM
In \bigtriangleup OBC using Pythagoras theorem
H^{2}+B^{2}+P^{2}
\left ( OC \right )^{2}= \left ( BC \right )^{2}+\left ( OB \right )^{2}
\left ( 5 \right )^{2}= \left ( 4 \right )^{2}+\left ( OB \right )^{2}
\left ( OB \right )^{2}= 25-16
OB= \sqrt{9}= 3cm
Hence radius of the inner circle is 3 cm.

Posted by

infoexpert27

View full answer

Similar Questions

Latest Question