Logo88idn
Answered

IDNLearn.com provides a collaborative environment for finding accurate answers. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.

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 :

Crisforpidn
;
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 ;
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.