Circles Secants and Tangents and Angles Measures

The measure of arc HJ = 110 degree and arc LJ = 150 degree, what is the measure of angle K?

In a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is __________ to the chord.

• parallel

• congruent

• perpendicular

• bisect

If a quadrilateral is inscribed in a circle, then its opposite angles are ___________.

• complementary

• supplementary

• congruent

• bisect

Where in the intersection of the secants shown?

• Inside the circle

• Outside the circle

• On the circle

• The secants do not intersect.

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.

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.

Find x

• 10

• 5

• 18

• 9

Where in the intersection of the secants shown?

• Inside the circle

• Outside the circle

• On the circle

• The secants do not intersect.

• 33
• 18
• 46
• 16

Where in the intersection of the secants shown?

• Inside the circle

• Outside the circle

• On the circle

• The secants do not intersect.