Answer: 4x^2 - 10x - 6
Step-by-step explanation:
You can use FOIL to do this. First terms, Outer terms, Inner terms, Last terms.
(x - 3)(4x + 2)
First terms: x * 4x = 4x^2
Outer terms: x * 2 = 2x
Inner terms: -3 * 4x = -12x
Last terms: -3 * 2 = -6
Now add these together:
4x^2 + 2x - 12x - 6 = 4x^2 - 10x - 6
Area of the shaded sector = (120/360) * pi * 10^2
= 104.72 square units
Area of the other sector = 2 * 104.72 = 209.44 sq units
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