A, B and C are three points on a circle whose centre is O. If \angle B O C is equal to 124^{\circ}, then what is the value (in degrees) of \angle B A C ?

SSC CHSL 11 Aug 2021 Shift 2 Paper

Section: Quantitative Aptitude

Question : 75 of 100

Marks: +1, -0

A, B

and

C

are three points on a circle whose centre is

O

. If

∠ B O C

is equal to

124^{∘}

, then what is the value (in degrees) of

∠ B A C

Solution:

According to the question,

∴ \;\; ∠ B A C \;\; =\;{∠ B O C}/{2}=\;{124^{∘}}/{2}

\;\; =62^{∘}

[ ∵

The angle subtended at the centre by on arc is twice the angle subtended at the remaining circumference]

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