Answer :
Answer:
Area = 85.4 m^2
Explanation:
Given data:
height h = 6 m
length l = 20 m
we know that chord length is given as
[tex]chord = 2 \sqrt{ [ height x ( 2 x radius - height) ]}[/tex]
[tex]20 m= 2 \sqrt{ [ 6 m x ( 2 x radius - 6 m ) ]}[/tex]
solviing for radius r we get
r = 11.33 m
we know that area of segment of circle is given as
[tex]Area =r^2 \times arc cosine [ \frac{r-h}{r}] - (r-h) \times \sqrt{(2\times r\times h - h^2)}[/tex]
r - h = 11.33 - 6 = 5.33m
[tex]r^2 = 11.33^2 = 128.44 m^2[/tex]
r -h = 11.33 - 6 = 68 m^2
[tex]Area = 128.44 \times arc cosine [\frac{5.33}{11.33}] - 5.33 \times \sqrt{2\times 68 - 36 }[/tex]
Area = 85.4 m^2