Question

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. If O is the centre of round table . Find AEB and AFB.
A. 60O Both
B. 900 Both
C. 300 Both
D. 450 Both

please explain step by step. ​

Answer 1

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

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