SOLUTION: calculate the angle at the centre of a circle subtended by a chord 6cm from the centre of the circle with radius 10cm

Algebra ->  Circles -> SOLUTION: calculate the angle at the centre of a circle subtended by a chord 6cm from the centre of the circle with radius 10cm       Log On


   



Question 1190131: calculate the angle at the centre of a circle subtended by a chord 6cm from the centre of the circle with radius 10cm

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
calculate the angle at the centre of a circle subtended by a chord 6cm from the centre of the circle with radius 10cm
----------------
The chord and the radius form 2 right triangles.
The hypotenuse is the radius = 10 cm
One side is 6 cm
cos(a) = 6/10
a = ~ 53.13 degs
Angle at the center of the circle is 2a = ~ 106.26 degs