Answer:
Red and Green are parallel
Black and Blue are perpendicular
Step-by-step explanation:
Parallel lines need to have the same slope. Lines red and green both have a slope of 1/2.
The slopes of two lines that are perpendicular have to be opposite reciprocals, and must be multiplied together to get -1. Line black has a slope of -4, and line blue has a slope of 1/4. Both of them multiplied together equals -1.
Our aim is to calculate the Radius so that to use the formula related to the area of a segment of a circle, that is: Aire of segment = Ф.R²/2
Let o be the center of the circle, AB the chord of 8 in subtending the arc f120°
Let OH be the altitude of triangle AOB. We know that a chord perpendicular to a radius bisects the chord in the middle. Hence AH = HB = 4 in
The triangle HOB is a semi equilateral triangle, so OH (facing 30°)=1/2 R. Now Pythagoras: OB² = OH² + 4²==> R² = (R/2)² + 16
R² = R²/4 +16. Solve for R ==> R =8/√3
OB² = OH² +
Answer:
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