please need help as soon as possible!

Question

Question 1: Identify the diameter of the disc.

Assume that a chord through the 10 in. segment passes through the center of the circle.

A.) 20 in.

B.) 24.4 in.

C.) 14.4 in.

D.) 22 in.

Question 2: Identify the value of y and the length of each chord.

A.) y = 57; PQ = 60; RS = 28

B.) y = 24; PQ = 27; RS = 28

C.) y = 10; PQ = 13; RS = 28

D.) y = 54; PQ = 28; RS = 57

Please give the explanation and the answer.

Answer 1

Question 1: The radius is x + 10, and it is sqrt(x^2 + 12^2)

Then, x^2 + 20x + 100 = x^2 + 144

20x = 44

x = 2.2

r = 10 + 2.2 = 12.2

d = 24.4

B)

Question 2: use intersecting chords theorem. l(PT) * l(TQ) = l(RT) * l(TS)

9*19=3y

y = 9*19/3 = 19*3 = 57 A)