Question

R is tangent to circle P at point Q.

Answer 1

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.

Answer 2

Answer:

6.1

Explanation:

Hopes help

If it is right can I get brainiest