Lesson 7 Staking It Solidify Understanding

Ready

Given the equation of a circle centered at , find one point in each quadrant that lies on the given circle.

1.

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

2.

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

3.

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

4.

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

5.

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

Set

Each circle has been divided into equal sectors. Find the measure of the central angle formed by two consecutive spokes. Write the measure of the angle in degrees and in radians.

6.

a circle is sliced into 5 even pieces

7.

a circle is sliced into 8 even pieces

Find the length of the arc on a circle of radius intercepted by a central angle .

8.

Radius:

Central angle:

9.

Radius:

Central angle:

10.

Radius:

Central angle:

11.

Radius:

Central angle:

Find the measure of in radians.

12.

a circle is a radius of 6 and a sector length of 6 that create an acute angle

13.

a circle is a radius of 10 and a sector length of 12 that create an obtuse angle

14.

a circle is a radius of 75 and a sector length of 25 that create an obtuse angle

15.

a circle is a radius of 9 and a sector length of 63 that create an obtuse angle

Convert from degrees to radians. (Leave in your answers.)

16.

17.

18.

19.

20.

Go

Label each point on the circle with the measure of the angle of rotation in standard position. Angle measures should be in radians. (Recall a full rotation around the circle would be radians.)

21.

a circle sliced into 12 even pieces with points A through M labeled ABCDEFGHJKLM

22.

a circle sliced into 6 even pieces with points A through E labeled ABCDEF

23.

a circle sliced into 16 even pieces with points A through P labeled ABCDEFGHJKLMINOP

24.

a circle sliced into 4 even pieces with points A through D labeled ABCD