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

Mathematics

2 answers:

Bogdan [553]2 years ago

8 0

Answer:

A is the correct answer

Step-by-step explanation:

Thepotemich [5.8K]2 years ago

3 0

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the chord EF is a diameter of circle D.

Arc is a part of circumference. If two points lying on a circle then the shortest arc is called the 'minor arc' the longer one is called the 'major arc'.

The arc EGC is the sum of arc EG,GF and FC. The length of EGC is more than half of the circumference because EF is diameter and a diameter divides the circumference in two equal parts.

The arc EGF is the sum of EG and GF. Therefore arc EGF is less than EGC. Therefore option B is incorrect.

The arc EG is less than EGC. Therefore option C is incorrect.

The arc ECF is the sum of EC and EF. The length of ECF is half of the circumference because EF is diameter. Therefore arc ECF is less than EGC. Therefore option D is incorrect.

So, the correct option is A.

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