Answer:
Step-by-step explanation:
The diagram of the circle is shown in the attached photo.
Looking at triangle AOB, 2 sides are equal. It means that A= B.
Therefore, A = B = (180 - 60)/2 = 60
Therefore, triangle AOB is an equilateral triangle. AB = AO = BO = 4 cm
We would find the area of triangle AOB by applying heron's formula
Area = √s(s - a)(s - b)(s - c)
s = (a + b + c)/2 = (4 + 4 + 4)/2 = 6
Area = √6(6 - 4)(6 - 4)(6 - 4)
Area = √48 = 6.93cm²
Area of sector formed by the minor segment = area of triangle + area of minor segment
Area of sector = 60/360 × 3.14 × 4² = 8.37 cm²
Area of minor segment = 8.37 - 6.93 = 1.44 cm²
