Respuesta :

Answer:

28.5 cm^2

Step-by-step explanation:

Area of a sector - Area of the Triangle

Θ = central angle

Formula for Area of a sector:

Θ/360 πr^2

Plug in numbers

90/360 π (10)^2 = 78.5 cm^2

Formula for Area of a triangle

1/2bh

Plug in numbers:

1/2 (10) (10) = 50 cm^2

Now subtract to find the area of the segment:

78.5 - 50 = 28.5 cm^2

The answer is 28.5. Hope it helps.