Find the area of the segment cut off by a chord of length 10cm from a circle radius 13 cm.

Answer 1

From your sketch, join the end of the chord to the centre, drop a height from the centre to the chord.
You have a right-angled triangle, with 2 sides known, base is 5, hypotenuse is 13.
By Pythagoras, find the height
Find the central angle using basic trig.

find the circumference of the whole circle, then by a ratio , find the area of the sector with that central angle
Find the area of the triangle with your chord as base.
Subtract the two, to get the area of the segment.

There are formulas for the area of the segment, but the above makes you understand it.