10. If a, b and c are in continued proportion,
prove that
a2 + b2 + c2/
(a + b + c)2=
a – b + c/
a + b + c
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Answer:
Area of the shaded region will be,
\begin{gathered}area \: of \: square \: - area \: of \: cirle \\ = {7}^{2} - \pi {3.5}^{2} \\ = {7}^{2} - \frac{22}{7} \times {3.5}^{2} \\ = {7}^{2} - \frac{22}{2} \times 3.5 \\ = {7}^{2} - 11 \times 3.5 \\ = 49 - 38.5 \\ = 10.5cm ^{2}\end{gathered}
areaofsquare−areaofcirle
=7
2
−π3.5
2
=7
2
−
7
22
×3.5
2
=7
2
−
2
22
×3.5
=7
2
−11×3.5
=49−38.5
=10.5cm
2
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