Answer: 6.1 units
Explanation:
It is given,
QR is a tangent to the circle touching the circle at point Q and the length of RQ = 5.3
The length of the radius of the circle, QP = 3
Since a tangent to a circle is perpendicular to the radius through the point of contact, therefore,
∠PQR = 90°
Now referring to the figure attached below, and by using Pythagoras theorem, in ∆ PQR, we get
RP² = RQ² + QP²
⇒ RP² = 5.3² + 3²….. [substituting the given values]
⇒ RP = √[5.3² + 3²]
⇒ RP = √[28.09 + 9]
⇒ RP = √[37.09]
⇒ RP = 6.0901
⇒ RP = 6.1 …… [rounding off to its nearest tenth]
Thus, the approximate length of the RP is 6.1.
