# Two mutually perpendicular chords are drawn in the circle, each of which is divided by another chord into segments

Two mutually perpendicular chords are drawn in the circle, each of which is divided by another chord into segments 4 and 6. Find the distance from the center of the circle to each chord.

The perpendiculars OH and OK, drawn from the center of the circle to the chords AB and CD, divide them in half.

AK = BK = AB / 2 = (AM + BM) / 2 = 10/2 = 5 cm.

DH = CH = CD / 2 = (DM + CM) / 2 = 10/2 = 5 cm.

The length of the segment KM = AM – AK = 6 – 5 = 1 cm.

The length of the segment NM = DM – DH = 6 – 5 = 1 cm.

Quadrangle OHMK is a rectangle with opposite sides equal, then OK = HM = 1 cm, OK = KM = 1 cm.

Answer: The distance from the center of the circle to the chords is 1 cm. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.