F4 Math - Length of Arc, Area of Sector, Area of Segment

F4 Math - Length of Arc, Area of Sector, Area of Segment

​Lesson Objectives:

1. ​Review the parts of a circle.

2. ​Calculate the circumference and area of a circle.

3. ​Calculate the length of an arc.

4. ​Calculate the area of a sector.

5. ​Calculate the area of a segment.

Multiple Choice

What does the line segment on the circle represent?

• the radius

• the diameter

• the circumference

Multiple Choice

What part of a circle does the red line represent?

• the radius

• the diameter

• the circumference

Multiple Choice

What is the length around a circle called?

• the radius

• the diameter

• the circumference

Multiple Choice

What is a segment with its endpoints on the circle that passes through the center called?

• the radius

• the diameter

• the circumference

Multiple Choice

What is a line segment from the center of a circle to any point on the circle?

• the radius

• the diameter

• the circumference

Multiple Choice

What is the radius doubled (times 2)?

$$r\times2=?$$  

• the diameter

• the radius

• the area

• pi

Multiple Choice

An arc is a smaller piece of the

• Chord
• Center
• Circumference
• Radius

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

The radius of the circle is 9 meters.  What is the circle's circumference?

• 9 meters
• 28.26 meters
• 56.52 meters
• 18 meters

Multiple Choice

What is the circumference of a circle with a radius of 54 m?

• 339.12 m
• 169.56 m
• 84.78 m 

Multiple Choice

What is the circumference of this circle?  Round to the nearest tenth.

• 3.14 cm 
• 37.7 cm
• 24 cm
• $$\pi r^2$$  

Multiple Choice

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?

• 3 m 
• 9.42 m
• 12 m
• 18.84 m

Multiple Choice

Find the area of the circle

• 56.52
• 254.34
• 1017.36
• 113.04

Multiple Choice

find the area of the circle below.

• 100 cm
• 225 cm
• 9 cm
• 28.26 cm

Multiple Choice

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

• 63.585 ft²
• 68.345 ft²
• 64.585 ft²
• 61.345 ft²

Multiple Choice

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

• 31.25 m²

• 29.55 m²

• 30.36 m²

• 50.27 m²

Multiple Choice

The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?

• area
• circumference
• neither

Multiple Choice

Find the length of the arc to 2dp

• 2.09m

• 301.59m

• 1.05m

• 2.51m

Multiple Choice

Find the length of the arc to 2dp

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

Multiple Choice

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

Multiple Choice

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of angle AOB to the nearest degree.

• 90

• 60

• 55

• 113

Multiple Choice

What is the area of the shaded sector?

• 145.31 cm²

• 20.76 cm²

• 581.25 cm²

• 470.13 cm²

Multiple Choice

Find the area of each sector.

• 4248 m²
• 7.9 m²
• 2827.4 m²
• 11.8 m²

Multiple Choice

Find the area of each sector.

• 52.4 in²
• 18,864 in²
• 60 in2
• 10.47 in

Multiple Choice

What is the name of the blue region?

• A sector

• A segment

• A hooly bob

• A central angle

Multiple Choice

What is the area of the shaded segment?

• 185.0619

• 88.9359

• 39.3078

• 5.7975