Answer:
24 π square inches
Step-by-step explanation:
The area of a circule is give by the formula A = π r²
Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).
A circle = π * 12² = 144 π square inches
Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:
[tex]\frac{x}{144\pi } = \frac{60}{360}[/tex]
x = 144 π / 6 = 24 π square inches
