Plz tell correct answer in step by step answer with explanation plz......correct answer will get marked BRAINLIEST.......
Answers
Answer:
367.71 cm²
Step-by-step explanation
Let r and R be the radii of smaller and larger circle respectively.
Gɪᴠᴇɴ
Radius of outer circle, R = 21 cm
Difference in radius, R-r = 3 cm
Fᴏʀᴍᴜʟᴀ
Area of a circle with radius r is given by
Area = πr²
Cᴀʟᴄᴜʟᴀᴛɪᴏɴs
ʀᴀᴅɪᴜs ᴏғ sᴍᴀʟʟᴇʀ ᴄɪʀᴄʟᴇ
It is given that
R - r = 3
or 21 - r = 3
or r = 21 - 3
or r = 18 cm
ᴀʀᴇᴀ ᴏғ ʟᴀʀɢᴇʀ ᴄɪʀᴄʟᴇ
Aʀᴇᴀ = πR²
= π x 21² cm²
= 441π cm²
ᴀʀᴇᴀ ᴏғ sᴍᴀʟʟᴇʀ ᴄɪʀᴄʟᴇ
ᴀʀᴇᴀ = πr²
= π x 18² cm²
= 324π cm²
ᴀʀᴇᴀ ᴏғ sʜᴀᴅᴇᴅ ʀᴇɢɪᴏɴ
ᴀʀᴇᴀ = (ᴀʀᴇᴀ ᴏғ ʟᴀʀɢᴇʀ ᴄɪʀᴄʟᴇ)
- (ᴀʀᴇᴀ ᴏғ sᴍᴀʟʟᴇʀ ᴄɪʀᴄʟᴇ)
= 441π - 324π
= 117π
= 117 x 22/7
= 367.71 cm²
Step-by-step explanation:
And after this
the area of the shaded region = (the area of the outer circle - area of the inner circle )
where :
area of the outer circle = 1386 cm^2
area of the inner circle = 1016.4cm^2
as we said earlier we are subtracting both the areas now:
area of the shaded region = ( 1386 - 1016.4 )
= 369.6 cm^2
hope this answer help you
thank you! !