Chapter 4: Circular Functions Review for Lessons 1 & 2 Mrs. Parziale.

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Presentation transcript:

Chapter 4: Circular Functions Review for Lessons 1 & 2 Mrs. Parziale

A windshield wiper on a car turns through an angle of 100 °. The blade is 14 inches and the arm is 10 inches. How much of an area does the blade cover, to the nearest tenth? 10” 14”

How Much Plastic Is Needed? 5 10 cm James needs to replace the plastic covering his speedometer on his old car. If the needle can maximally rotate 105 , find the area of the piece of plastic he will need. Find your answer to the nearest tenth.

Find the Area of the Sector The circle to the right has a radius of 6 inches. The line shown has an equation of y = x. Find the exact area of the shaded sector.

Calculate Arc Length Given radius and central angle 

Calculate area of a sector Given radius and central angle 

Convert to degrees

Convert to revolutions

Calculate Arc Length Given radius and central angle 

Calculate area of a sector Given radius and central angle 

Convert to degrees

Convert to degrees (two dec)

Convert to revolutions (fraction)

Calculate Exact Value Convert degrees to radians – leave in terms of 

The length of the arc of a circle is inches. The measure of its central angle is 33 °. – Convert 33° to radians – What is the exact radius of the circle? r

Find the length of an arc with radius 5 meters and central angle radians. Give your answer exactly.

Find the Radius If a sector of a circle with a central angle of has an area of 6.4  square meters, what is the length of the radius?

Find the Angle Measure If a sector of a circle with radius of 14 cm has an area of square meters, what is the measure of the central angle in degrees? (round answer to the nearest degree)

A windshield wiper on a car turns through an angle of 150 °. The blade is 12 inches and the arm is 5 inches. How much of an area does the blade cover, to the nearest tenth? 5” 12”