The difference between the circumference and radius of a circle is 37 cm. Find the circumference of that circle.
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Answers
Answer:
44 Cm
Step-by-step explanation:
Radius of Circle = R
Circumference of Circle = 2π R
According to question...
(2πR - R) = 37
(2π-1) R = 37
R = 7 cm
Now, Circumference = 2 π R = 2*π*7 = 44 cm.
Hᴇʀᴇ's Yᴏᴜʀ Aɴsᴡᴇʀ:-
Lᴇᴛ r ʙᴇ Tʜᴇ Rᴀᴅɪᴜs ᴏғ Cɪʀᴄʟᴇ.
Dɪғғᴇʀᴇɴᴄᴇ Bᴇᴛᴡᴇᴇɴ Cɪʀᴄᴜᴍғᴇʀᴇɴᴄᴇ Aɴᴅ Rᴀᴅɪᴜs ᴏғ Tʜᴇ Cɪʀᴄʟᴇ = 37 ᴄᴍ
Cɪʀᴄᴜᴍғᴇʀᴇɴᴄᴇ ᴏғ Cɪʀᴄʟᴇ = 2πr
= 2 × 22/7 × r
= 44/7 × r
Nᴏᴡ,
Dɪғғᴇʀᴇɴᴄᴇ Bᴇᴛᴡᴇᴇɴ Cɪʀᴄᴜᴍғᴇʀᴇɴᴄᴇ Aɴᴅ Rᴀᴅɪᴜs ᴏғ Cɪʀᴄʟᴇ = 2πr - r
37 = 44/7 × r - r
37 = r ( 44/7 - 1 )
37 = r ( 44 - 7 )/7
37 = 37/7 × r
37 × 7/37 = r
r = 7 ᴄᴍ.
Nᴏᴡ, Cɪʀᴄᴜᴍғᴇʀᴇɴᴄᴇ ᴏғ Cɪʀᴄʟᴇ = 44/7 × r
= 44/7 × 7
= 44 ᴄᴍ.
Hᴏᴘᴇ ɪᴛ Hᴇʟᴘs ᴜʜ....