Question

Hey! I have some geometry questions today!

Answer 1

Answer:

• 29
• 6

Step-by-step explanation:

Question 1

It is assumed the chords have equal length: PQ = SR

If the vertexes connected with the center, the both chords will form a right triangle, with the hypotenuse being the radius.

Then the radius is found using Pythagorean theorem:

• r = $\sqrt{20^2 + 21^2}$ = $\sqrt{841}$ = 29

Question 2

Use the intersecting secants theorem: and solve for x:

• FS*FT = FP*FQ
• 4(4 + x) = 5(5 + 3)
• 16 + 4x = 40
• 4x = 24
• x = 6