Find the area of the shaded region. Leave your answer in terms of pi and in simplest radical form.

12 (10π + 3√3) m²

Step-by-step explanation:

Given:

Radius = 12 m

Area of a circle = π r²

A = π * (12m) ²

A = π * 144 m²

A = 144π m²

360°/60° = 6

144πm² * 5/6 = 120π m² Area of the remaining circle.

Area of the equilateral triangle = (√3/4) a²

* radius of the circle is the side length of the triangle.

A = (√3/4) * (12m) ²

A = 36√3m²

Area of the shaded region = (120π + 36√3) m²

= 12 (10π + 3√3) m²