One trampoline has a diameter of 12 feet. A larger trampoline has a diameter of 14 feet. How much greater is the area of the larger trampoline? Round to the nearest hundredth.
Answers
Step-by-step explanation:
area of 1 trampoline =πr²
=22/7×6
=132/7
area of larger trampoline=πr²
=22/7×7
=22
therefore area of larger trampoline as compared to other trampoline=22-132/7
=154-132/7
=22/7
=3.14ft
✍️A᭄NSWER✍️
ᴛʜᴇ ʟᴀʀɢᴇʀ ᴛʀᴀᴍᴘᴏʟɪɴᴇ ɪs ʟᴀʀɢᴇʀ ɪɴ ᴀʀᴇᴀ ʙʏ 75.36 ғᴇᴇᴛ².
sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:
ᴛʜᴇʀᴇ ᴀʀᴇ ᴛᴡᴏ ᴛʀᴀᴍᴘᴏʟɪɴᴇs ʜᴇʀᴇ; ᴛʜᴇ ʟᴀʀɢᴇʀ ᴀɴᴅ ᴛʜᴇ sᴍᴀʟʟᴇʀ ᴏɴᴇ.
ᴛʜᴇ ᴛʀᴀᴍᴘᴏʟɪɴᴇ's ᴀʀᴇᴀ ᴄᴀɴ ʙᴇ ғᴏᴜɴᴅ ᴜsɪɴɢ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ ᴄɪʀᴄʟᴇ ᴡʜɪᴄʜ ɪs πʀ² ᴏʀ πᴅ²/4, ᴡʜᴇʀᴇ "ʀ" ᴀɴᴅ "ᴅ" ʀᴇᴘʀᴇsᴇɴᴛ ʀᴀᴅɪᴜs ᴀɴᴅ ᴅɪᴀᴍᴇᴛᴇʀ ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ.
ʜᴇʀᴇ ᴡᴇ ᴡɪʟʟ ʟᴇᴛ D ʙᴇ ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʟᴀʀɢᴇʀ ᴛʀᴀᴍᴘᴏʟɪɴᴇ ᴀɴᴅ d sʜᴏᴜʟᴅ ʙᴇ ᴛᴀᴋᴇɴ ᴀs ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ sᴍᴀʟʟᴇʀ ᴛʀᴀᴍᴘᴏʟɪɴᴇ.
sᴏ, ᴛʜᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ɪɴ ᴀʀᴇᴀ ᴡɪʟʟ ʙᴇ πᴅ²/4 - πᴅ²/4 = π/4 (ᴅ² - ᴅ²), ᴡʜᴇʀᴇ π ɪs ɢɪᴠᴇɴ ᴀs 3.14.
sᴏ, ᴛʜᴇ ᴀʀᴇᴀ ᴅɪғғᴇʀᴇɴᴄᴇ = 3.14/4 × (14² - 10²) =
3.14/4 × (196 - 100) =