Question

What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? Round your answer to the nearest whole number.

Answer 1

it would be C. 85.4 Lol your welcome

Answer 2

Area = 85.4 m^2

Step-by-step explanation:

Given data:

height h = 6 m

length l = 20 m

we know that chord length is given as

`chord = 2 √( [ height x ( 2 x radius - height) ])`

`20 m= 2 √( [ 6 m x ( 2 x radius - 6 m ) ])`

solviing for radius r we get

r = 11.33 m

we know that area of segment of circle is given as

`Area =r^2 * arc cosine [ (r-h)/(r)] - (r-h) * √((2* r* h - h^2))`

r - h = 11.33 - 6 = 5.33m

`r^2 = 11.33^2 = 128.44 m^2`

r -h = 11.33 - 6 = 68 m^2

`Area = 128.44 * arc cosine [(5.33)/(11.33)] - 5.33 * √(2* 68 - 36 )`

Area = 85.4 m^2