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ss7ja [257]
3 years ago
5

If the circumference is 21+2.5pi what is the area

Mathematics
1 answer:
sdas [7]3 years ago
8 0

________________________________

Circumference = 21 + 2.5 π

Or, 2×π×r = 21 + 2.5 π

or, \: \pi \times r  = \frac{21 + 2.5 π}{2}

or, \: \pi \times r =  \frac{21}{2}  +  \frac{25\pi}{2}

or, \: r \:  = ( \frac{21}{2}  +  \frac{25\pi}{2} ) \div  \frac{22}{7}

or, \: r =  (\frac{7}{22}  \times  \frac{21}{2} ) + ( \frac{7}{22}  \times  \frac{2.5\pi}{2} )

or, \: r =  (\frac{7}{22}  \times  \frac{21}{2} ) + ( \frac{7}{22}  \times  \frac{2.5}{2} \times  \frac{22}{7}  )

or, \: r =  (\frac{7}{22}  \times  \frac{21}{2} ) + ( \frac{2.5}{2}  )

or, \: r =  ( \frac{147}{44} ) + ( \frac{55}{44}  )

or, \: r =  ( \frac{101}{22} )

________________________________

Now, area of the circle

= π r²

=  \frac{22}{7}  \times  \ { \frac{101}{22} }^{2}

=  \frac{22}{7}  \times  \ { \frac{101}{22} } \times  \frac{101}{22}

=   { \frac{101}{7} } \times  \frac{101}{22}

=  \frac{10201}{154}

= 66.24

________________________________

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