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Question

In a circle, the major arc is 3 times the minor arc. The corresponding centre angles and the degree measures of two arcs are



A

90o and 270o

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B

90o and 90o

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C

270o and 90o

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D

60o and 210o

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Solution

The correct option is B

270o and 90o


In a circle, major arc is 3 times the minor arc i.e. arc ACB = 3 arc ADB.

ReflexAOB=3AOB

Let AOB=x

Then reflex AOB=3x

But angle at O=360o

x+3x=360o

4x=360o

x=360o4=90o

 3x=90o×3=270o

Hence, angles are 270o and 90o.


Mathematics
RD Sharma
Standard IX

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