danielle02 2 years ago In a circle whose radius is 6 cm, there is a central angle whose measure is 60 degrees. How long is the chord joining the endpoints of the arc cut off by the angle?

1. manishsatywali

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2. manishsatywali

use the proprty line from centre of chord bisects the chord

3. manishsatywali

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4. danielle02

can you explain how to get the answer?

5. manishsatywali

w8

6. manishsatywali

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7. manishsatywali

any doubt till here????????

8. manishsatywali

asap..........

9. manishsatywali

you might be wondering that how is angle AOP equal to 30 degree.............. frst focus on the triangle AOB........THERE u see angLE ABO is given to be 60 degree...and ABO = OAB(since both angles correspond to the radius sides OA and OB)..........BY USING triangle sum property sum equal to 180 DEGREE u wl get AOB=OAB=60 DEGREE

10. manishsatywali

now focus on the triangle AOP here u have equal sides AP and AB ......USING the property that angle corresponding to the equal to the sides are equal..so angle AOP AND POB are equal.......after this apply angle sum property in triangle APO....U will get angle AOP=POB=30 DEGREE...............REPLY if u have any problem???????????????/

11. manishsatywali

AP= OA sin30 degree AP = OA/2=6/2=3CM

12. manishsatywali

AB =2AP=2*3=6CM.......................

13. danielle02

Thanks for the help!