Module 6 Unit 3

Question 1

What is a circle sector

Answer 1

A circle sector is a pie shaped portion of a circle that is enclosed by two radii and an arc

Question 2

What is a circle segment

Answer 2

A circle segment is a region bound by a chord and an arc that is subtended by the chord

Question 3

What is the difference between a circle sector and a circle segment

Answer 3

A circle segment being bound by radii is always connected to the centre of the circle while a segment is not connected to the centre of the circle being bound by a chord

Question 4

What is the formula for calculating arc length

Answer 4

Arc length (l) = radii (r) times the angle of the segment (theta)

Question 5

What is the relationship between radius, arch length and, the angle of the sector.

Answer 5

Because the ratio between the length and the angle will always be the same as the circumference of a circle and 2π
The length will always equal the radius times the angle

Question 6

How is the area of a sector calculated

Answer 6

Area of a sector = 0.5 times the angle of the sector times the radius squared