Perpendicular Bisectors (in a Circle)

The radius AE bisects chord CD. AG measures 4 mm. Chord CD measures 14 mm. What is the radius of the circle?

• 10 mm

• 8.1 mm

• 14.5 mm

• 18 mm

AE bisects chord CD. The diameter of the circle is 30 cm long. Chord CD measures 24 cm. What is the length of AB?

• 3 cm

• 19.2 cm

• 6 cm

• 9 cm

Water is flowing through a pipe with radius 14 cm. The maximum depth of the water is 9 cm. What is the width, PQ, of the surface of the water? Round your answer to the nearest tenth.

(a)  

Point O is the centre of each circle. Determine each value of x.

• 6.2

• 12.5

• 9.4

• 18.9

Point O is the centre of each circle. Determine each value of s. Which circle properties did you use? Round your answer to the nearest tenth

(a)  

The diagram represents the water level in a pipe. The surface of the water from one side of the pipe to the other measures 20 mm, and the inner diameter of the pipe is 34 mm. What is the shortest distance from the centre of the pipe to the water level, rounded to the nearest millimeter? Explain your reasoning.

(a)