The angle between a tangent and a chord is 14degrees19'16''. If the length of the arc subtended by the chord is 5cm, what is the radius of the circle.

Help please, I really have no idea. Can you show it with illustrations, thanks! :)

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- Dec 11th 2009, 04:56 AMreiwardCircle
The angle between a tangent and a chord is 14degrees19'16''. If the length of the arc subtended by the chord is 5cm, what is the radius of the circle.

Help please, I really have no idea. Can you show it with illustrations, thanks! :) - Dec 11th 2009, 06:41 AMmathaddict
HI

take a look at the diagram i attached .

s=5 , r=?? , $\displaystyle \theta=??$

Remember these 2 properties of circle

(1) angles of alternate segment are equal (red)

(2) angles at radius is twice the angle at circumference (blue)

Then use this formula , $\displaystyle s=r\theta$ to get r .