Question

Q10. A circle has a radius 2 cm. It is divided into two segments by a chord of length 2√2cm.

Prove that the angle subtended by the chord at a point in minor

segment is 135​

Answer 1

Answer:

ANSWER

Intersecting chords theorem states that when two chords intersect each other inscale a circle, the product of their segments are equal also, diameter is the longest chord of the circle also now, draw a diameter of the circle passing through points P and M. it is the line XY

Step-by-step explanation:

Length XY=2∗ radius =2∗13=26cm

MY=PY−PM=13−5=7cm

XM=XP+PM=13+5=18cm

By the intersecting chords theorem we have

CM∗PM=XM∗YM=18∗7=126

∴CM∗PM=126