# Circles

- Author:
- Ryanne Hilliard

- Topic:
- Circle

## Central Angles, Arcs, and Chords

## Step 1

Use the LINE tool to construct a line through Center A and Point B.

## Step 2

Construct a Point C on the circle using the POINT tool .

## Step 3

Use the LINE tool to construct a line through Center A and Point C.

## Step 4

Click the Point tool in the toolbar.
Then use the INTERSECTION tool to construct Point D and Point E.
(Point D should intersect line AB and the circle. Point E should intersect line AC and the circle.)

## Step 5

Use the ANGLE MEASURE tool to create and measure angle BAC and angle DAE.
*First select the point B, then center A, then select point C

**counterclockwise**!* *First select the point D, then center A, then select point E**counterclockwise**!*## Step 6

Use the CIRCULAR ARC tool to create and measure Arc BC and Arc DE.
*First select the center A, then select Points B and C

**counterclockwise**!* *First select the center A, then select Points D and E**counterclockwise**!*## Step 7

Use the Algebra window to see the measures of Arc BC (labeled "d") and Arc DE (labeled "e").

## Step 8

Use the SEGMENT tool to construct Chord "h" with endpoints B and C.
Use the SEGMENT tool to construct Chord "i" with endpoints D and E.

## Step 9

Use the Algebra Window to see the measures of Chord h and Chord i.