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Question

In an art class, suneha sketched a design using geometrical shapes with the help of colours in the following way:

If in the figure, circles in black and blue are the circumcircle and incircle (of the equilateral ΔPQR) respectively, Then BAC is equal to


A

120

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B

60

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C

30

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D

90

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Solution

The correct option is B

60


Given two concentric circles with radius O. Now, PQ, QR and PR are sides of equilateral ΔPQR.
We have,
QPR=60QOR=120
Also, in smaller circle.
BAC=12BOC=12QORBAC=60
[angle subtended by an arc at the centre is twice the angle subtended by the same arc in the remaining part]


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