Practice Problems on Arc of a Circle
Problem 1: Find the length of the arc of a circle with a central angle of 45° and a radius of 8 inches.
Problem 2: If the measure of an arc in a circle is 120°, and the radius is 6 centimeters, what is the length of the arc?
Problem 3: Given a circle with a radius of 10 meters, find the measure of the central angle if the length of the arc is 15 meters.
Problem 4: Calculate the length of an arc in a circle with a radius of 5 inches if the central angle is 60°.
Problem 5: A sector of a circle has a central angle of 90° and a radius of 12 centimeters. Find the length of the arc and the area of the sector.
Arc of a Circle
Arc of a Circle is a part of the circumference of a circle or we can also say the Arc of a Circle is some percentage of the circle’s circumference. As we know, a circle is defined as a two-dimensional geometrical object where all the points are equidistant from the center and the distance measured around the circle is known as a circumference and some portion of the circumference taken at a time is known as the Arc of a Circle.
In this article, we will learn the Arc of a Circle in detail, including its definition, types, and arc length formula. Other than that we will also discuss the angle subtended by an arc and the theorem related to this angle as well.
Table of Content
- What is the Arc of a Circle?
- Types of Arcs
- Arc of the Circle Formula
- How to Find Length of Arc of a Circle?
- Angle Subtended by Arc at Center