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diameter of a circular Garden is 42 metres. there is 3.5 metre wide road around the garden. find the area of the road
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hey here is your solution ..
ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴄɪʀᴄᴜʟᴀʀ ɢᴀʀᴅᴇɴ = ᴅ
ᴅ = 42 ᴍ
ʀᴀᴅɪᴜs ( ʀ )= ᴏʙ = ᴅ/2 = 42/2 = 21 ᴍ
ᴡɪᴅᴛʜ ᴏғ ᴛʜᴇ ᴀʀᴏᴜɴᴅ ᴛʜᴇ ɢᴀʀᴅᴇɴ (ᴡ)=3.5ᴍ
ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ʟᴀʀɢᴇʀ ᴄɪʀᴄʟᴇ ( ʀ )
= ᴏᴀ
= ʀ + ᴡ
ʀ = 21 + 3.5 = 24.5 ᴍ
ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴏᴀᴅ ( ᴀ ) = π( ʀ+ʀ )( ʀ-ʀ )
ᴀ = ( 22/7 ) ( 24.5 + 21 )( 24.5 - 21 )
ᴀ = ( 22/7 ) × 45.5 × 3.5
ᴀ = 22 × 45.5 × 0.5
ᴀ = 500.5 ᴍ²
ᴛʜᴇʀᴇғᴏʀᴇ ,
ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴏᴀᴅ = ᴀ = 500.5 ᴍ²
ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴄɪʀᴄᴜʟᴀʀ ɢᴀʀᴅᴇɴ = ᴅ
ᴅ = 42 ᴍ
ʀᴀᴅɪᴜs ( ʀ )= ᴏʙ = ᴅ/2 = 42/2 = 21 ᴍ
ᴡɪᴅᴛʜ ᴏғ ᴛʜᴇ ᴀʀᴏᴜɴᴅ ᴛʜᴇ ɢᴀʀᴅᴇɴ (ᴡ)=3.5ᴍ
ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ʟᴀʀɢᴇʀ ᴄɪʀᴄʟᴇ ( ʀ )
= ᴏᴀ
= ʀ + ᴡ
ʀ = 21 + 3.5 = 24.5 ᴍ
ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴏᴀᴅ ( ᴀ ) = π( ʀ+ʀ )( ʀ-ʀ )
ᴀ = ( 22/7 ) ( 24.5 + 21 )( 24.5 - 21 )
ᴀ = ( 22/7 ) × 45.5 × 3.5
ᴀ = 22 × 45.5 × 0.5
ᴀ = 500.5 ᴍ²
ᴛʜᴇʀᴇғᴏʀᴇ ,
ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴏᴀᴅ = ᴀ = 500.5 ᴍ²
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