circle geometry theorem 1 mod ass

1)

Module Assessment O is the midpoint of the circle. PQ and AB both are chords of the circle with OM  PQ and OC  AB. OM = 5cm, OC = 7cm and AB = 48cm. Determine the length of a) The radius of the circle b)

2)

PQ

AB is a chord of the circle with midpoint O. OE bisects AB. AD = 12cm, ED = 8cm and OD = x. a) Determine the radius OB in terms of x b)

Consequently determine the length of the radius OB.

Geometry: Circles

3)

4)

The radius of the semi-circle with midpoint O is 5cm. A square is placed in the semi-circle as indicated in the sketch. Calculate the area of the square (Tip: Let the length of the square be x). PR = 10cm and MN = 8cm The diameter of the circle is 12 cm O is the midpoint of the circle. Calculate the distance between the chords.

4) The radius of the larger circle is 18cm and that of the smaller circle is 9cm. O and P are the midpoints. OW = 12cm and PR = 6cm OW  ST and RP  TV SV is a straight line. Calculate the length of SV

Geometry: Circles