Question

if the perimeter of a semicircular park is 72 M find its area and radius

Answer 1

Perimeter of semi circle = 72

=> pi r + 2r = 72

=> r ( 22/7 + 2) = 72

=> r (36/7) = 72

=> r = 72*7/36

=> r = 14 m

Area = pi *r^2 /2

= 22*14*14/7*2

= 22*14

= 308 m^2

Answer 2

★彡 ᴀɴsᴡᴇʀ: 彡★

ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ sᴇᴍɪ ᴄɪʀᴄᴜʟᴀʀ ᴘᴀʀᴋ ɪs 14 ᴍᴇᴛᴇʀ.

ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sᴇᴍɪ ᴄɪʀᴄᴜʟᴀʀ ᴘᴀʀᴋ ɪs 307.72 sϙᴜᴀʀᴇ ᴍᴇᴛᴇʀ.

sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:

sᴏʟᴜᴛɪᴏɴ :

ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ sᴇᴍɪ ᴄɪʀᴄᴜʟᴀʀ ᴘᴀʀᴋ ɪs ᴘ=2ʀ+\ᴘɪ ʀᴘ=2ʀ+πʀ

ᴡᴇ ʜᴀᴠᴇ ɢɪᴠᴇɴ, ᴘ=72

ᴘ=ʀ(2+\ᴘɪ)ᴘ=ʀ(2+π)

72=ʀ(2+3.14)72=ʀ(2+3.14)

72=ʀ(5.14)72=ʀ(5.14)

ʀ=\ғʀᴀᴄ{72}{5.14}ʀ=5.1472

ʀ=14ʀ=14

ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ sᴇᴍɪ ᴄɪʀᴄᴜʟᴀʀ ᴘᴀʀᴋ ɪs 14 ᴍᴇᴛᴇʀ.

ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sᴇᴍɪ ᴄɪʀᴄᴜʟᴀʀ ᴘᴀʀᴋ ɪs ᴀ=ᴘɪ ʀ^2}{2}ᴀ=2πʀ2

ᴀ=3.14\ᴛɪᴍᴇs 14^2}{2}ᴀ=23.14×142

ᴀ=3.14\ᴛɪᴍᴇs 196}{2}ᴀ=23.14×196

ᴀ=3.1498ᴀ=3.14×98

ᴀ=307.72ᴍ^2ᴀ=307.72ᴍ2

ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sᴇᴍɪ ᴄɪʀᴄᴜʟᴀʀ ᴘᴀʀᴋ ɪs 307.72 sϙᴜᴀʀᴇ ᴍᴇᴛᴇʀ.

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