Question

Ab is a chord of the circle. accb,=and the length of the radius is 5 units. ac3 units and oc4 units. == . show that ocab⊥ and explain why oc passes through the centre o.

Answer 1

To show that OC is perpendicular to AB and passes through the center O, we can use the properties of chords and radii in a circle.

Step-by-step explanation:

To show that OC is perpendicular to AB and passes through the center O, we can use the properties of chords and radii in a circle.

1. We know that AC = 3 units and AC is perpendicular to AB. This means that the line segment OC is the perpendicular bisector of AB, dividing AB into two equal parts.
2. Since OC is the perpendicular bisector of AB, it intersects AB at its midpoint. The midpoint of AB is the center of the circle, which means OC passes through the center O.