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

Which arc is the major arc ? A(SO) B(PSQ) C(PQ) D(PQR)-example-1
User Coordinate
by
8.3k points

2 Answers

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


User Souvik Ray
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8.1k points
1 vote

Answer:

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.

User Tezromania
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8.7k points