small cottage industry employing people from a nearby slum area prepare round table clothes having six equal design in the six segment formed by equal chords AB, BC, CD, DE,EF and AF. If O is the centre of round table (see figure). Find AEB and AFB. A. 60O Both B. 900 Both C. 300 Both D. 450 Both
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Given : A small cottage industry employing people from a nearby slum area prepare round table clothes having six equal design in the six segment formed by equal chords AB, BC, CD, DE,EF and AF
O is the centre of round table
To Find : AEB and AFB.
A. 60° Both
B. 90° Both
C. 30° Both
D. 45° Both
Solution:
six equal design in the six segment formed by equal chords AB, BC, CD, DE,EF and AF
Hence angle formed by each cord at center = 360°/6
= 60°
∠AOB = 60°
∠AEB = ∠AFB = (1/2)∠AOB
Angle made by same chord/arc at center & arc segment of remaining circle
∠AEB = ∠AFB = (1/2)60°
=> ∠AEB = ∠AFB =30°
option C. 30° Both is correct
Learn More:
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