logo88
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Ex 5.5
6. find the length of the chord cut off by an angle of π/6 subtended at the centre of a circle with radius 5cm

Sagot :

crisforp
;
2 × 5 × sin( π / 12 ) = 10 × sin ( π / 12 ) ;

π/12 = ( 180° ) / 12 = 15°. 

But,  sin ( π/12 ) 

= sin 15° 

= sin ( 45° - 30°) 

= sin 45°· cos 30° - cos 45°· sin 30° 

= (1/√2)·(√3 /2 ) - (1/√2)·(1/2) 

= ( √3 - 1 ) / (2√2) = [tex] \frac{( \sqrt{6}- \sqrt{2} )}{4} [/tex] ;

Finally, ( 2.5 ) × ( 2.4 - 1.4 ) = 2.5 cm ;
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.