Question

Which arc is the major arc ?
A(SO) B(PSQ) C(PQ) D(PQR)

Answer 1

A is not an arc
arc PQ < 180°
arc PQR = 180° Answer B) arc PSQ > 180
∴ answer B) arc PSQ is the major arc

Answer 2

B.
`\widehat{PSQ}`

Explanation:

We have been given an image of a circle. We are asked to choose the major arc from our given choices.

Let us check our given choices one by one.

A.
`\overline{SO}`

We can see that
`\overline{SO}` is not an arc it is radius of the given circle. Therefore, option A is not a correct choice.

B.
`\widehat{PSQ}`

We can see that arc PSQ includes arc PSR and RQ. Since PSR is semicircle of our given circle, therefore, arc PSQ is major arc of our given circle.

C.
`\widehat{PQ}`

We can see that measure of PQ is less than 180 degrees, therefore, option C is not a correct choice.