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A B C D: (Total 6 Marks)

1) The document contains 6 problems related to calculating areas and perimeters of sectors and arcs on circles. The problems involve using radius, arc length, sector angle, and area to find unknown values. 2) Problem 1 asks to find the area of a shaded region between two circles. Problem 2 involves finding the radius, perimeter, and area of a sector given the arc length and central angle. 3) Problem 3 gives the area of a sector and asks to find the radius and length of a minor arc. Problems 4-6 each present a circle diagram and ask to calculate an unknown value such as arc length or area of a sector region.

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Sam M
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59 views2 pages

A B C D: (Total 6 Marks)

1) The document contains 6 problems related to calculating areas and perimeters of sectors and arcs on circles. The problems involve using radius, arc length, sector angle, and area to find unknown values. 2) Problem 1 asks to find the area of a shaded region between two circles. Problem 2 involves finding the radius, perimeter, and area of a sector given the arc length and central angle. 3) Problem 3 gives the area of a sector and asks to find the radius and length of a minor arc. Problems 4-6 each present a circle diagram and ask to calculate an unknown value such as arc length or area of a sector region.

Uploaded by

Sam M
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Unit Circle Quiz Review

1. The diagram below shows two circles which have the same centre O and radii 16 cm and 10 cm
respectively. The two arcs AB and CD have the same sector angle  = 1.5 radians.

A B

C D

Find the area of the shaded region.

(Total 6 marks)

2. The diagram below shows a circle centre O, with radius r. The length of arc ABC is 3 cm and
2π
AÔC = .
9

(a) Find the value of r.


(2)

(b) Find the perimeter of sector OABC.


(2)

(c) Find the area of sector OABC.


(2)
(Total 6 marks)

3. The following diagram shows a circle of centre O, and radius r. The shaded sector OACB has
an area of 27 cm2. Angle AÔB = θ = 1.5 radians. A
C
(a) Find the radius.
B
(b) Calculate the length of the minor arc ACB. r
O
(Total 6 marks)

IB Questionbank Maths SL 1
Unit Circle Quiz Review

4. O is the centre of the circle which has a radius of 5.4 cm.

A B

The area of the shaded sector OAB is 21.6 cm2. Find the length of the minor arc AB.

(Total 4 marks)

5. The diagram shows a circle of radius 5 cm.

1 radian

Find the perimeter of the shaded region.

(Total 4 marks)
6. In the following diagram, O is the centre of the circle and (AT) is the tangent to the circle at T.
T

O A

Diagram not to scale

If OA = 12 cm, and the circle has a radius of 6 cm, find the area of the shaded region.

(Total 4 marks)

IB Questionbank Maths SL 2

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