Math, asked by saniya4539, 1 year ago

in the given figure ,AB is diameter of the circle and o is the center if the measure of angle COB = 40 then the measure of angle CAB will be

Answers

Answered by AbhinavSahni

We have,
AB as the diameter of circle,
now,we have given that angle COB=40°

So,therefore ,by the theorem , The angle subtended by the arc at the centre is double the angle subtended by the arc at any point on the circle.

so,we get,
angle COB=2angle CAB
40°=2 angleCAB
40°/2=angleCAB
20°=AngleCAB

we get angle CAB is equal to 20°

saniya4539: but the answer in my book is 20

AbhinavSahni: Bro,sometimes this is problem in mostly every books,or the question is like that the angle subtented by the arc in any point on the circle ,this is a theorem as you know

AbhinavSahni: that angle subtended by an arc at any point is po

AbhinavSahni: point is half the angle subtended at the center

AbhinavSahni: Ok then I give you the right solution for this question..

Answered by palakgupta1528

let ab as the diameter of circle

given:

√COB= 40°

so therefore by the *therom***

the angle substended by the arc at centre is double the angle substended by the arc at any point on the circle

so we get,

√COB= 2 √CAB

40° /2=√CAB

20° =√CAB

we get √CAB = 20°

hope it helps u

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in the given figure ,AB is diameter of the circle and o is the center if the measure of angle COB = 40 then the measure of angle CAB will be

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so therefore by the therom

so therefore by the *therom***