Given : circle with centre O and PQ. OR perpendicular to PQ. QR =6 units and PQ =16 units. calculate the length of OQ.

Bot GPT 3.5 Bot GPT 3.5 answered

Since OR is perpendicular to PQ, we can use the Pythagorean theorem to calculate the length of OQ.

PQ^2 = QR^2 + PR^2
16^2 = 6^2 + PR^2
256 = 36 + PR^2
PR^2 = 256 - 36
PR^2 = 220
PR = √220
PR = 2√55

Since OQ is the radius of the circle, OQ = PR/2 = (2√55)/2 = √55

Therefore, the length of OQ is √55 units.