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Circular Measure
供稿人: Chong

a) r = 29 cm, b) Angle AOC = 1.39 rad,

c) Shaded Region= 68 cm sq, d) Perimeter = 87.7 cm

a) r = 130 cm, b) Angle AOC = 12.9 rad,

c) Shaded Region= 675 cm sq, d) Perimeter = 867 cm

a) r = 30 cm, b) Angle AOC = 1.29 rad,

c) Shaded Region= 67.5 cm sq, d) Perimeter = 86.7 cm

ABC is the segment of a circle, centre O, radius
r. This segment is enclosed in a rectangle APQC.

Given that AC = 36 cm and AP = 6 cm,
Find
a) r
b) the angle AOC is radian
c) the area of the shaded region
d) the perimeter of the shaded region

The diagram shows two sectors in which AB, CD are

arcs of concentric circles, centre O. The arcs AB and

CD have lengths 10.8 cm and 15.6 cm respectively.

If AD = 4 cm, calculate
a) the length of OA,
b) angle AOB in radians,
c) the area of the shaded region ABCD.

a) OA = 8 cm, b) Angle AOB = 2.1 radian,

c) Shaded Area = 51.8 cm sq

a) OA = 9 cm, b) Angle AOB = 1.2 radian,

c) Shaded Area = 52.8 cm sq

a) OA = 9 cm, b) Angle AOB = 1.2 radian,

c) Shaded Area = 58.2 cm sq

a) Angle AOB = 1.2 rad
b) Area of shaded region = 36.8 cm sq

a) Angle AOB = 0.8 rad
b) Area of shaded region = 24 .0 cm sq

a) Angle AOB = 0.833 rad
b) Area of shaded region = 24.2 cm sq

The diagram shows part of a circle,

centre O and radius 12 cm. Given that the

length of the arc AB is 10 cm, calculate
a) the angle AOB in radians
b) the area of the shaded region

ABC is a sector of a circle, centre A and

angle BAC = 0.524 radians.
Given that AB is perpendicular to BD and AD = 10 cm,

calculate, to three significant figures,

a) the perimeter of the shaded region
b) the area of the shaded region

a) Perimeter of shaded region
= 15.2 cm
b) Area of shaded region
= 2.00 cm sq

a) Perimeter of shaded region
= 16.6 cm
b) Area of shaded region
= 2.02 cm sq

a) Perimeter of shaded region
= 17.0 cm
b) Area of shaded region
= 20.0 cm sq

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