define radius of curvature
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In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.
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ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ ғᴏʀᴍᴇᴅ ᴡɪᴛʜ ᴛʜᴇ ᴄᴜʀᴠᴇᴅ ᴘᴀʀᴛ ᴏғ ᴛʜᴇ ʟᴇɴs ɪs ᴋɴᴏᴡɴ ᴀs ʀᴀᴅɪᴜs ᴏғ ᴄᴜʀᴠᴀᴛᴜʀᴇ. ᴡᴇ ᴅʀᴀᴡ ᴀ ᴄɪʀᴄʟᴇ ᴡɪᴛʜ ᴛʜᴇ ʜᴇʟᴘ ᴏғ ᴛʜᴇ ᴄᴜʀᴠᴇᴅ ᴘᴀʀᴛ ᴏғ ᴛʜᴇ ʟᴇɴs, ᴀɴᴅ ʟᴏᴄᴀᴛᴇ ɪᴛs ᴄᴇɴᴛʀᴇ, ʙʏ ᴍᴇᴀsᴜʀɪɴɢ ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ ғʀᴏᴍ ᴛʜᴇ ᴄᴇɴᴛʀᴇ ᴡᴇ ɢᴇᴛ ʀᴀᴅɪᴜs ᴏғ ᴄᴜʀᴠᴀᴛᴜʀᴇ. .
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