Question

If an angle subtended by an arc at the centre of the circle measures 1000, what would be the measure of an angle subtended by the same arc at a point of MINOR arc?

Answer 1

Answer:

given,

ab is equal to the radius of the circle

in triangle OAB,

OA=OB=AB=RADIUS OF THE CIRCLE

ANGLE AOC=60 DEGREE

ALSO, ANGLE ACB =1/2 ANGLE AOB=1/2×60 DEGREE=30 DEGREE

ABCD IS A CYCLIC QUADRILATERAL.

ANGLE ACB+ANGLE ADB=180 DEGREE. (OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL)

ANGLE ADB=180