# Central and Inscribed Angles and Arcs in Circles Worksheets

What Are Central and Inscribed Angles and Arcs in Circles? The circle is the most common and interesting of all shapes. With no edges and vertices, and no end or starting point, the circle has some very interesting features. In fact, it is said that there is nothing such as a straight line, and straight lines are called linear curves and are bound to bend at some time, forming a circular arch. Some of the concepts related to a circle are central angles, inscribed angles, and arcs. Let us find out more about these concepts. A central angle in a circle is meant by an angle subtended at the middle of the circle. Making the center of the circle the starting point, we extend to lines in separate directions that meet the circumference, and the angle that those lines make between them is called the central angle of the circle. The distance that is covered on the circumference by the central angle is called an arc. An inscribed angle is an angle that is subtended at any point on the circumference of a circle and creates an arc on the opposite end.

• ### Basic Lesson

Guides students through finding an unknown central and inscribed angle. Sum of all the angles inscribed in the circle = 360°

• ### Intermediate Lesson

Demonstrates how to substitute central angle values.

• ### Independent Practice 1

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

• ### Independent Practice 2

Students use Central and Inscribed Angles and 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 Central and Inscribed Angles and Arcs in Circles.

• ### Skill Quiz

This tests the students ability to understand Central and Inscribed Angles and Arcs in Circles.