Hello, classicstrings!
Find the area of the minor segment formed on an arc of length 36cm
drawn on a circle of radius 50cm.
Why are you playing with a chord? Code:
36
* * *
* *
* *
* - - - - - - - - - *
\ /
\ /
\ / 50
\ θ /
*
Arc length formula: .s .= .rθ
We have: .s = 36, r = 50
. . Hence: .36 = 50θ . →. θ = 0.72 (radians)
Area of a sector: .A .= .½r²θ
. . We have: . A .= .½(50²)(0.72) .= .900 cm²
Area of triangle: .½(50²)sin(0.72) .≈ .824.23 cm²
. . Therefore: .Area of segment .= .900 - 824.23 .= .75.77 cm²