Question

If two parallel chords of length 12 cm each and 'x' metres apart are drawn on either side of the centre of a circle then the radius is equal to ?​

Answer 1

⒩⒮⒲⒠⒭:

ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ = 26 ᴄᴍ sᴏ ,

ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ = 13 ᴄᴍ .

ʟᴇɴɢᴛʜ ᴏғ ᴄʜᴏʀᴅ ᴀʙ = 10 ᴄᴍ ᴀɴᴅ ᴀʙ / 2 = 5 ᴄᴍ .

ʟᴇɴɢᴛʜ ᴏғ ᴄʜᴏʀᴅ ᴄᴅ = 24 ᴄᴍ ᴀɴᴅ ᴄᴅ / 2 = 12 ᴄᴍ .

ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴀʙ ғʀᴏᴍ ᴛʜᴇ ᴄᴇɴᴛʀᴇ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ = [ 1312 - 5 ^ 2 ) ^ 0 . 5 = 12 ᴄᴍ .

ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴄᴅ ғʀᴏᴍ ᴛʜᴇ ᴄᴇɴᴛʀᴇ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ = ( 1342 - 1242 ] ^ 0 . 5 = 5 ᴄᴍ .

ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴀʙ ғʀᴏᴍ ᴄᴅ = 12 + 5 = 17 ᴄᴍ .

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