Chord

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/chord

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. How long is Chord?The diameter of the circle
2. What is the application in engineering?Used in the design of circular components, gears, and bearings
3. What is the historical significance?Central to ancient Greek geometry and early astronomical calculations
4. What is a chord in a circle?A chord is a straight line segment whose two ends touch the edge of a circle. It is a simple part of the circle’s shape.
5. How do you find the length of a chord?Use the formula (c/2)^2 + d^2 = r^2, where r is the circle’s radius, d is the distance from the center to the chord, and c is the chord length. It comes from the Pythagorean theorem.

Line Segment: A finite portion of a straight line defined by two distinct endpoints.
Circumference: The perimeter of a circle, representing the total distance around its boundary.
Diameter: A chord passing through the center of a circle, equal to twice the radius.
Trigonometry: The branch of mathematics concerned with relationships between angles and sides of triangles, and with trigonometric functions.