Question

Circle R has a radius of 6, and is tangent to circle R at point Q. Also, QP = 8.
(a) What is the measure of angle RQP Explain your answer.
b) What is the length of RP Explain your answer.
(c) What is the length of RS Explain your answer.
(d) What is the length of RP Explain your answer.

Answer 1

I found the image that is part of this problem.

Circle R has a radius of 6. The radius is from R to Q, edge of the circle. Another radius is formed from R to S.

Radius R to Q is the short leg of a right triangle. It measures 6 cm.
a) The measure of the angle RQP is 90°. It is a right triangle.
b) The length of RP is 10 cm.
RP is the hypotenuse.
a² + b² = c²
6² + 8² = c²
36 + 64  = 100
c² = 100
√c² = √100
c = 10 cm

c.) the length of RS is 6 cm. It is also a radius. 
d) The length of RP is 10 cm. Same answer as scenario b.