Question

A circle is to be drawn, passing through the ends of a line, 5 centimetres
long; and the angle on the circle on one side of the line should be 80°.
What should be the radius of the circle?
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Answer 1

Answer:

ɢɪᴠᴇɴ: ɪɴ Δᴀʙᴄ, ∠ᴀ = ° ᴀɴᴅ ∠ʙ = °

ᴜsɪɴɢ ᴀɴɢʟᴇ sᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ:

∠ᴀ + ∠ʙ + ∠ᴄ = °

⇒ ° + ° + ∠ᴄ = °

⇒ ° + ∠ᴄ = °

⇒ ∠ᴄ = ° − °

= °

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴀɴɢʟᴇ ɪɴ ᴀ sᴇᴍɪ ᴄɪʀᴄʟᴇ ɪs ᴀ ʀɪɢʜᴛ ᴀɴɢʟᴇ.

ɪғ ᴀʙ ɪs ᴛʜᴇ ᴅɪᴀᴍᴇᴛʀᴇ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ ᴛʜᴇɴ ∠ᴄ sʜᴏᴜʟᴅ ʙᴇ ᴇǫᴜᴀʟ ᴛᴏ °.

ʜᴏᴡᴇᴠᴇʀ, ʜᴇʀᴇ ∠ᴄ ɪs ʟᴇss ᴛʜᴀɴ °. ᴛʜᴇʀᴇғᴏʀᴇ, ᴠᴇʀᴛᴇx ᴄ ᴡɪʟʟ ʟɪᴇ ᴏᴜᴛsɪᴅᴇ ᴛʜᴇ ᴄɪʀᴄʟᴇ.

Answer 2

Answer:

2.5 is the answer

Step-by-step explanation: