Tangent and Chord Theorems

Find x

• 10

• 5

• 18

• 9

• 10

• 11

• 12

• 13

• 3

• 4

• 5

• 6

• 28.67

• 29.67

• 30.67

• 31.67

• 4

• 7

• 10

• 42

A chord of a circular clock is 12 in. long, and its midpoint is 8 in. from the center of the circle. What theorem(s) can you use to determine the length of the radius of the circle?

• Pythagorean Theorem. A diameter perpendicular to a chord bisects the chord.

• Opposite Angles in an inscribed angles adds to 180 degrees.

• Angles in the same segment are equal

• Tangents from a point outside a circle are equal in length.

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.