Question

Given that chord EF is a diameter of circle D, which of the following names a major arc?

A. arc EGC
B. arc EGF
C. arc EG
D. arc ECF

Answer 1

we know that
A major arc is an arc of a circle having measure greater than or equal to 180 degrees

therefore
arc EGF=180°-------> (because EF is the diameter)
arc ECF=arc EGF
arc ECF=180°

arc EGC=arc EGF+arc FC
arc EGC=180+arc FC
so
the arc EGC is > 180°

the answer is
A major arc is arc EGC