Lesson 7 Staking It Solidify Understanding

Ready

Given the equation of a circle centered at $(0, 0)$ , find one point in each quadrant that lies on the given circle.

1.

$x^{2} + y^{2} = 25$

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

2.

$x^{2} + y^{2} = 4$

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

3.

$x^{2} + y^{2} = 36$

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

4.

$x^{2} + y^{2} = 1$

a.

Quadrant I:

b.

Quadrant II:

c.

Quadrant III:

d.

Quadrant IV:

5.

$x^{2} + y^{2} = 9$

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.

7.

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

8.

Radius: $33 cm$

Central angle: $0.286 radians$

9.

Radius: $14 ft$

Central angle: $2.629 radians$

10.

Radius: $20 in$

Central angle: $\frac{π}{4} radians$

11.

Radius: $4 m$

Central angle: $60 °$

Find the measure of $θ$ in radians.

12.

13.

14.

15.

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

16.

$90 °$

17.

$210 °$

18.

$72 °$

19.

$288 °$

20.

$270 °$

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 $2 π$ radians.)

Lesson 7 Staking It Solidify Understanding

Ready

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b.

c.

d.

2.

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b.

c.

d.

3.

a.

b.

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d.

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5.

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d.

Set

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Go

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