1.

4) The radius of a circle is 15cm. The distance ofcentre O from M; theBmidpoint of chord AB isM9 cm. Find the length ofAchord AB​

Answer»

ong>Step-by-step explanation:

is KE jesa he ye kar lena

The radius of a circle is GIVEN as 15 cm and chord AB subtends an ANGLE of 131

∘

at the centre C of the circle.Using TRIGONOMETRY ,calculate :

(i) the length of AB ;

(ii) the distance of AB from the centre C

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Answer

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Given r=15

∠AOB=13.1

AB=x

AC=CB=

2

x

∠AOC=65.5

o

sin65.5=

2×15

x

As sin65.5=0.909

x=0.909×30=27.27

∴ length of AB=27.27

OC=cos65−5×15

=0.414×15

OC=6.21cm

∴ length of chord AB=27.27cm

distance between centre and the chord is 6.21 cm.


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