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