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i do not think so
A segment is not connected to the centre of a circle, it is the area bounded by a Secant (chord) and an arc. Draw a circle, draw a radius (centre to edge). Draw another radius. Where the radii join the circle edje draw a line joining the two points. This is the secant. You should be able to see a triangle and and a half moon shape. The half moon shape is the segment. The segment and the triangle make up a sector.
Yes, because a circle is 360 degrees right?,so when the perpendicular lines meet they cut the circle in half so 360 degrees divided by 4 equals 90 degrees...
-- Collect all of the information you're given ... such as the dimensions of the circle or of additional lines drawn inside the circle or touching it, and the size of other angles that are not missing. -- Recall and collect the various laws, relations, and formulas you know that relate to circles, or to whatever other shapes have been added to the drawing you have of the circle with the missing angle. -- Identify one or two of the mathematical or geometric operations you know that can make the connection between the given information and the missing angle.