Mathematics

Radius-Chord Problem Set

1) Given: ⨀𝑂, chord is 15 units from the center, radius = 17

Find: length of the chord.

2) Find the radius of a circle if a 24-cm

chord is 9 cm from the center.

3) Find the distance from the center of a

circle to a chord 30 m long if the

diameter of the circle is 34 m.

4) Two circles intersect and have a

common chord 24 cm long. The centers

of the circle are 21 cm apart. The

radius of one circle is 13 cm. Find the

radius of the other circle.

5) ⨀𝑃 just touches (is tangent to) the x-axis. P = (15, 13) and Q = (19, 16).

a. Find the radius of ⨀𝑃. b. Find PQ.

c. Find the length of AB.

6) Find the radius of a circle in which a 48-cm chord is 8 cm closer to the center than a 40-

cm chord.

7) A circle with equation (𝑥 − 3)2 + (𝑦 − 2)2 = 25 has a chord AB from A (6, 6) to B (6, 0). How far is the center from the chord?

8) What is the area of the circle? Do not round. Give exact answer in terms of pi.