Circles And Lines

When two chords AB and CD

When two chords AB and CD intersect at point P within a circle, then AP × PB = CP × PD. This means the product of the segments of one chord equals the

When a chord is perpendicular

When a chord is perpendicular to a diameter, and they intersect at point P, then the relationship becomes: (part 1 of diameter) × (part 2 of diameter)

For any point P inside

For any point P inside a circle of radius r, located at distance d from the center, if any line through P intersects the circle at points X and Y, the

For any point P outside

For any point P outside a circle of radius r, located at distance d from the center, if any line through P intersects the circle at points X and Y, th

Using the intersecting chords theorem

Using the intersecting chords theorem, we can construct rectangles of equal areas with different dimensions. If we have a rectangle with sides 5 cm an