IGCSE Arc Length/Area of a Sector

IGCSE Arc Length/Area of a Sector

Miss Hancock

​Today we will be learning how to find:

​

​The length of an arc (part of the circumference)

​

​The area of a sector (part of the full area of a circle)

​

​Please write down these parts of a circle if you need a reminder!

Multiple Choice

Name the pictured part of the circle.

• Radius

• Central Angle

• Sector

• Center

• Arc

Multiple Choice

Name the pictured part of the circle.

• Radius

• Central Angle

• Sector

• Center

• Arc

Multiple Choice

Name the pictured part of the circle.

• Diameter

• Sector

• Radius

• Central Angle

• Arc

Multiple Choice

Name the pictured part of the circle.

• Diameter

• Sector

• Radius

• Chord

• Arc

Multiple Select

Which of the following is the formula for the CIRCUMFERENCE of a circle? (Select all that apply)

• $$2\pi r$$  

• $$\pi d$$  

• $$2\pi r^2$$  

• $$\pi r^2$$  

Multiple Choice

Which of the following is the formula for the AREA of a circle?

• $$2\pi r$$  

• $$\pi d$$  

• $$2\pi r^2$$  

• $$\pi r^2$$  

​Area and Circumference of a Circle

​The next few questions should be revision on using these two formulas:

Multiple Choice

The diagram shows a circle with radius 8cm. Find the area of this circle, correct to 1 decimal place.

• 201.1cm²

• 50.3cm²

• 804.2cm²

• 25.1cm²

Multiple Choice

The diagram shows a circle with radius 8cm. Find the circumference of this circle, correct to 1 decimal place.

• 201.1cm

• 50.3cm

• 804.2cm

• 25.1cm

Multiple Choice

The diagram shows a circle with diamater 16cm. Find the area of this circle, correct to 1 decimal place.

• 201.1cm²

• 50.3cm²

• 804.2cm²

• 25.1cm²

Multiple Choice

The diagram shows a circle with diameter 16cm. Find the circumference of this circle, correct to 1 decimal place.

• 201.1cm

• 50.3cm

• 804.2cm

• 25.1cm

Fill in the Blanks

​Write this down!

​A sector is part of a full circle, so the formula is similar!

​

​But instead of having the full 360 we have part of the full 360 degrees, see picture...

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 67.1cm²

• 67.0cm²

• 16.8cm²

• 134.0cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 2.1cm²

• 2.0cm²

• 0.5cm²

• 12.6cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 209.4cm²

• 209.3cm²

• 104.7cm²

• 104.1cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 56.5cm²

• 56.6cm²

• 226.1cm²

• 226.2cm²

​Write this down!

​The arc length is part of the circumference, but again we haven't got the FULL 360 degrees, only part of the full circumference...

Multiple Choice

Find the length of the arc to 2dp

• 32.11cm

• 16.05cm

• 780.84cm

• 32.99cm

Multiple Choice

Find the length of the arc to 2dp

• 49.74cm

• 24.87cm

• 4.97cm

• 24.9cm

Multiple Choice

Find the length of the arc to 2dp

• 1.95cm

• 3.91cm

• 0.98cm

• 2.93cm

Multiple Choice

Find the length of the arc to 2dp

• 9.42cm

• 150.80cm

• 4.71cm

• 18.85cm

If you would like to look at some more examples please look at the website on the next slide, if you are feeling confident try the exam style questions on classroom!​

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