Thread: Circle

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!

Originally Posted by reiward

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!

HI

take a look at the diagram i attached .

s=5 , r=?? ,

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 , to get r .