1.
13
cm c m
150º 13
O
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre O.
The radius of the circle is 13 cm.
The angle of the sector is 150°.
Calculate the area of the sector.
Give your answer correct to 3 significant figures.
.............................................. cm2
(Total 2 marks)
2.
15 cm
10 cm
O
10 cm Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre O, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
.......................... cm2
(Total 4 marks)
3.
Diagram NOT accurately drawn
OAB is a sector of a circle, centre O.
Angle AOB = 60º.
OA = OB = 12 cm.
Work out the length of the arc AB.
Give your answer in terms of π.
.................................... cm
(Total 3 marks)
4.
B
A
6 cm 6 cm
120°
O
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre O.
The radius of the circle is 6 cm.
Angle AOB = 120°.
Work out the perimeter of the sector.
Give your answer in terms of π in its simplest form.
............................. cm
(Total 3 marks)
Questions about
Arc length and Sector area
Point O is the center point.
The radius is 6 cm.
Arc length is 3π cm.
Calculate the labeled angle.
Question 2:
Point O is the center point.
The radius is 10 cm.
Arc length is 10 cm.
Calculate the labeled angle.
Question 3:
Area ?
Question 4:
Question 5:
Radius = 6cm
Arc length = 9 cm
Area of sector?
5.
B
6 cm 6 cm
P
Q
A C
6 cm
Diagram NOT accurately drawn
The diagram shows an equilateral triangle ABC with sides of length 6 cm.
P is the midpoint of AB.
Q is the midpoint of AC.
APQ is a sector of a circle, centre A.
Calculate the area of the shaded region.
Give your answer correct to 3 significant figures.
........................................ cm2
(Total 4 marks)
6.
Diagram NOT accurately drawn
A C
10.4 cm 10.4 cm
120°
The diagram shows a sector OABC of a circle with centre O.
OA = OC = 10.4 cm.
Angle AOC = 120°.
(a) Calculate the length of the arc ABC of the sector.
Give your answer correct to 3 significant figures.
.....................................cm
(3)
(b) Calculate the area of the shaded segment ABC.
Give your answer correct to 3 significant figures.
.....................................cm2
(4)
(Total 7 marks)
7. The diagram shows a sector of a circle with centre O.
The radius of the circle is 8 cm.
PRS is an arc of the circle.
PS is a chord of the circle.
Angle POS = 40°
Calculate the area of the shaded segment.
Give your answer correct to 3 significant figures.
............................. cm2
(Total 5 marks)
8.
Area of segment.
1st: Area of sector.
ABC is an arc of a circle centre O with radius 80 m.
AC is a chord of the circle.
Angle AOC = 35°.
Calculate the area of the shaded region.
Give your answer correct to 3 significant figures.
2nd: Area of triangle
Area of segment. 1954 - 1835 =119
............................... m2
(Total 5 marks)
