# Arcs in Circles Worksheets

What Are Arcs in Circles? The boundary of the circle is known as its circumference. When we take portion of this circumference, we get a curved line, and this curved line is what we call arcs in circles. Other curved shapes such as ellipses also have arcs. When the arc length is half of the circle, we it semicircular arc. The length of an arc can be calculated using the formula; arc length = s = 2πr (angle of arc / 360) Another formula for arc length is; arc length= s = r θ .

• ### Basic Lesson

Guides students through finding the measure of arcs in circles by using given point of reference. In circle O, the radius is 235, and the measure of minor arc PQ is 200 degrees. Find the length of minor arc PQ to the nearest integer.

• ### Intermediate Lesson

Demonstrates how to the circumference and radius of an arc. In a circular track the angle is 120 degrees. And the length of minor arc AB is 420. Find the radius of the circle.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Arcs in Circles.

• ### Independent Practice 2

Students determine the Arcs in Circles in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Arcs in Circles.

• ### Skill Quiz

This tests the students ability to understand Arcs in Circles.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

• ### Basic Lesson

Guides students through finding arc length and arc angle. A circle has an angle of 105 degrees. And the length of minor arc NM is 133. Find the circumference of the circle.

• ### Intermediate Lesson

Demonstrates how to determine radius and circumference from an angle. Here is a garden that has a radius 90 feet. The distance of point R to point S is 70. Find to the nearest angle, the measure of minor arc.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Arcs in Circles.

• ### Independent Practice 2

Students use Arcs in Circles in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Arcs in Circles.

• ### Skill Quiz

This tests the students ability to understand Arcs in Circles.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Claude Debussy (1862-1918) French composer

"Music is the arithmetic of sounds as optics is the geometry of light." Classification of mathematical problems as linear and nonlinear is like classification of the Universe as bananas and non-bananas.