Math, asked by jhasviittha1945, 6 months ago

Given two concentric circles with centre O. A line cuts the circles at AB.C and D
respectively. If AB = 10 cm then find the length of CD.
​

Answers

Answered by Anonymous
5

Hey,

ɪɴ ᴛʜɪs ϙᴜᴇsᴛɪᴏɴ ᴡᴇ ғɪɴᴅ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴄᴅ...

Given:-

  • Twᴏ ᴄᴏɴᴄᴇɴᴛʀɪᴄ ᴄɪʀᴄʟᴇ ʜᴀᴠᴇ ᴄᴇɴᴛʀᴇ ᴘᴏɪɴᴛ ᴏ.
  • A ʟɪɴᴇ ᴄᴜᴛ ᴄɪʀᴄʟᴇs ᴀᴛ ᴀʙᴄ ᴀɴᴅ ᴅ...ʏᴏᴜ sᴇᴇ ɪɴ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ᴀʟsᴏ ɪɴ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ...
  • ᴀɴᴅ ʟᴀsᴛ ᴀʙ = 10 ᴄᴍ

To Find:-

  • ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴄᴅ.

Solution:-

ʜᴇɴᴄᴇ,

ᴛʀɪᴀɴɢʟᴇ ᴀᴏᴅ

ᴀ0=ᴅᴏ {ʀᴀᴅɪᴜs}

ᴀɴᴅ ᴏᴍ ɪɴᴛᴇʀsᴇᴄᴛs ᴀᴅ

ᴇϙᴜᴀʟʟʏ [ᴏᴍ ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ ᴀᴅ]

sᴏ,

ᴀᴍ=ᴍᴅ - 1

ᴀɢᴀɪɴ ᴛʀɪᴀɴɢʟᴇ ʙᴏᴄ

ʙᴏ=ᴄᴏ {ʀᴀᴅɪᴜs}

ᴀɴᴅ ᴏɴ ᴀʟsᴏ ɪɴᴛᴇʀsᴇᴄᴛs ʙᴄ ᴇϙᴜᴀʟʟʏ [ᴏᴍ ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ ʙᴄ ]

sᴏ,ʙᴍ=ᴍᴄ - 2

ᴀᴍ = ᴍᴅ

ᴀʙ + ʙᴍ =ᴍᴄ + ᴄᴅ

ᴀʙ = ᴄᴅ [ᴘʀᴏᴠᴇᴅ]

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