# Lesson 5 Rays and Radians Solidify Understanding

The diagrams are provided to help you visualize your response to the problems. Answers should be rounded to two decimal places.

### 1.

A circle has a radius of

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A circle has a radius of

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If an angle measures

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A semicircle has a radius of

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A semicircle has a radius of

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If an angle measures

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If there are

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If an angle measures

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Circle

Draw an angle of

Let

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If you laid the radius end to end around the circumference of

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Label an angle of

### 12.

Find the ratio of

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One half of circle

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One half of circle

### 15.

What are the radian and degree measures of the angle of rotation from

Find the equivalent radian or degree measure of each angle based on what is given:

### 16.

### 17.

### 18.

### 19.

### 20.

### 21.

Locate the center of the circle.

Draw a central angle and an inscribed angle that cuts the same arc as the central angle. What is the relationship between the measure of a central angle and its corresponding inscribed angle?

### 22.

Locate the center of the circle.

Draw a central angle and a circumscribed angle that cuts the same arc as the central angle. What is the relationship between the measure of a central angle and its corresponding circumscribed angle?