area of Regeions

\hspace{-16}$If each side of Square $\mathbf{OABC}$ is $\mathbf{4}\;$unit\\\\ and There are $\mathbf{4}$ Quarter Circle Center at Corrosponding Vertex\\\\ Then Find Area of Region denoted by $\mathbf{\bold{\alpha}}$ and $\mathbf{\beta}$ and $\mathbf{\gamma}$

3 Answers

39
Dr.House ·

its taking too long to type

in the below answer let

alpha=a

beta=b

gamma=c

fromt he square, a+4b+4c=16

2c+b=4Ï€

a+2b=16-8Ï€

write everything in terms of b and solve it

1057
Ketan Chandak ·

@dr.house 2c+b will be 16-4Ï€....

71
Vivek @ Born this Way ·

β+2γ = 16 - 4 Î

and 2β + α = 8 Π- 16 (8Π> 16)

Note: This question was also posted by Nishant Sir in his EDUDIGM's weekly contest.

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