Math AA SL: Circles and Sin/Cos

#MAASL00097

[Maximum Mark: 7]

a) The diagram below shows triangle . 



(Not drawn to scale)

Given that , . Solve for .

b) The below diagram is formed by adding a semicircle with  to the triangle. 



(Not drawn to scale)

 Find the perimeter of the shape.

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#MAASL00121

[Maximum Mark: 6]

There is a circle with radius of 6, as shown below


The angle AOC is 1.3 radians

a) Find the length of the arc AC

b) What is the area of the shaded portion?

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#MAASL00052
The following diagram shows a circle with a center point Q, and points D, E, and F, 
along the circle. 
It has a radius of 5 cm, and the center angle is 2 radians. 

a) Find the length of arc DEF.

b) Find the area of the lightly shaded region.

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#MAASL00209

[Maximum Mark: 7] 

The following diagram shows a triangle ABC and a sector BDC of a circle with center B and radius 16/3 cm. 
The points A , B and D are on the same line. 

AB = 3√2, BC = 16/3, area of triangle ABC=3√3 , ABC is obtuse

a) Find ABC

b) Find the exact area of the sector BDC.

              

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#MAASL00210 

[Maximum Mark: 7]

The following diagram shows a triangle ABC and a sector BDC of a circle with center B and radius 4 cm. 
The points A , B and D are on the same line. 

AB = √2, BC = 4, area of triangle ABC=√6 , ABC is obtuse

a) Find ABC

b) Find the exact area of the sector BDC.

              

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#MAASL00107

[Maximum Mark: 6]

There is a triange ABC. Find BC

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#MAASL00122

[Maxmimum Mark: 7]

There is an expression 

It can be expressed as 

a) Find  and 

b) Solve the equation 

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#MAASL00171

[Maximum Mark: 7]

There is an expression 

represented by 

a)Find  and 

b) Solve the equation 

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#MAASL00172

[Maximum Mark: 7]

There is an expression 

represented by 

a)Find  and 

b) Solve the equation 

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#MAASL00211

[Maximum Mark: 7]

Let  and .

a. Find 

b. Find 

c. Given that  can be written as , find the value of k. 

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#MAASL00212

[Maximum Mark: 7]

Let  and .

a. Find 

b. Find 

c. Given that  can be written as , find the value of k. 

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