In geometry, Arc is the part of circumference of a circle. It is a smooth curve with two end points. The length of the arc that subtend an angle (θ) at the center of the circle is equal 2πr(θ/360°). Learn more about arc at BYJU’S.

The following diagrams show the relationships between the Angles and their Arcs: Central Angles, Inscribed Angles, Internal Angles and External Angles. Scroll down the page for more examples, explanations and solutions.

The Arc Angle Calculator is here to help you unlock the secrets of arc measurements based on the given arc length and radius. Whether you’re a geometry enthusiast or just curious about circles, this user-friendly tool will make arc calculations a breeze.

A circular arc is the arc of a circle between a pair of distinct points. If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends an angle at the center of the circle that is less than π radians (180 degrees); and the other arc, the major arc, subtends an angle greater than π radians.

One measure of an arc is the angle formed by the arc at the center of the circle that it is a part of. (The other is the length of the arc - see Length of an Arc.) In the figure above, click 'reset' and note that the angle measure of the arc BA is 60°.

Angle Formed Outside of Circle by Intersection: "Two Tangents" or "Two Secants" or a "Tangent and a Secant". ∠ ABC is formed by two tangents intersecting outside of circle O. The intercepted arcs are major arc and minor arc . These two arcs together comprise the entire circle. (When subtracting, start with the larger arc.)

Aug 3, 2023 · Learn how to find the measure of the arc length of a circle with formulas and solved examples.

Jan 11, 2023 · An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees, and we can easily convert between each with the formula \pi π radians = 180°. You can also measure the circumference, or distance around, a circle.

To make an arc, you either need a chord or a central angle. A chord is a line segment that joins any two points on a circle. A central angle is an angle between any two radii of the circle. For instance, the central angle in the diagram between the radii QA and QB, as shown below, is 60°.

The three theorems for the intercepted arcs to the angle of two tangents, two secants or 1 tangent and 1 secant are summarized by the pictures below. If you look at each theorem, you really only need to remember ONE formula.