Tangents and Circles

Each segment is tangent to circle P. If AB = 20, BC = 11 and DC = 14, what is the value of AD?

• AD = 23
• AD = 45
• AD = 11
• None of these are possible

Tags

CCSS.HSG.C.A.2

Segments ST and TR are both tangent to circle O. If ST = x² - 10 and TR = 3x, what is the value of x?

• x = 5
• x = - 2
• x = 2
• x = -5

Tags

CCSS.HSG.C.A.2

Circles P, Q and R are all tangent to one another. If PQ = 20, QR = 12 and PR = 15, what is the length of the radius of circle Q?

• 0.5 units
• 11.5 units
• 3.5 units
• 8.5 units

Tags

CCSS.HSG.C.A.2

The centers of the two circles, that have radii of 10 and 5 centimeters respectively, are 13 cm apart. What is the length of a common external tangent?

• 24 cm
• 12 cm
• 11.2 cm
• 14.1 cm

What is the value of JT that verifies segment JT is tangent to circle O if OT = 6in and JO = 10in?

• 9.2 in
• 8 in
• 17.1 in
• 11.7 in

Tags

CCSS.HSG.C.A.2

Given JK = 9mm and TO = 8 mm, find the value of JT that ensures that it is tangent to circle O.

• 4.1 mm
• 17 mm
• 15 mm
• 18.8 mm

Tags

CCSS.HSG.C.A.2

Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.

• x = 14.4
• x = 8.9
• x = 16
• x = 8

Tags

CCSS.HSG.C.A.2