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An umbrella has 8 ribs which are equally spaced
(see Fig. 12.13). Assuming umbrella to be a flat circle
of radius 45 cm, find the area between the two
consecutive ribs of the umbrella
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Hii,
Your answer is in the given attachment
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⇒ ᴀʀᴇᴀ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ʀɪʙs ᴏғ ᴜᴍʙʀᴇʟʟᴀ = 794.81 ᴄᴍ²
sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:
ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ = 45 ᴄᴍ
ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ʀɪʙs ɪɴ ᴛʜᴇ ᴜᴍʙʀᴇʟʟᴀ = 8
ᴍᴇᴀsᴜʀᴇ ᴏғ ᴏɴᴇ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴɢʟᴇ = 360
ᴀʀᴇᴀ ғᴏʀᴍᴇᴅ ʙʏ ᴏɴᴇ ʀɪʙ = 360/8
= 45°
sᴏ, ᴀʀᴇᴀ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ʀɪʙs ᴏғ ᴜᴍʙʀᴇʟʟᴀ = ᴀʀᴇᴀ ᴏғ ᴏɴᴇ sᴇᴄᴛᴏʀ
⇒ ᴀʀᴇᴀ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ʀɪʙs ᴏғ ᴜᴍʙʀᴇʟʟᴀ = 45/360 × π × ʀᴀᴅɪᴜs²
⇒ ᴀʀᴇᴀ = 794.81 ᴄᴍ²
ஜ۞ஜ ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ ஜ۞ஜ
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