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The angle calculator is a very helpful tool that helps in finding the central angle formed by an arc at the center of a circle. This calculator gives the angle in terms of both radians and degrees with step by step calculation.
What is Angle Calculator?
"Angle Calculator" is an online tool that helps to find the angle subtended by an arc if the radius and arc length are known. Cuemath's finding angle calculator helps you to calculate the angle in a few seconds. All we need to do is to provide the radius and arc length and the corresponding subtended angle is shown with detailed solution.
NOTE: Enter the value up to 4 digits only.
How to Use the Angle Calculator?
Follow the steps below to use the angle calculator:
- Step 1: Enter the length of arc and radius in the input boxes
- Step 2: Click on the "Solve" button to find the angle.
- Step 3: Click on the "Reset" button to find the angle with different radii and arc lengths.
How to Find the Angle?
Angles are measured in terms of degrees or radians, which can be found out by using a protractor or other cartography instruments. The symbol used to represent the angle is ∠. The two rays that form the angle are called the arms of the angle, and the common endpoint is called the vertex.
An arc is a portion of the circumference of a circle and when the endpoints of the arc are joined with center of the circle, an angle is formed at the center which can be calculated by the formula:
Angle subtended in Radians = Arc length / Radius
Solved Examples on Angle Calculator
Example 1: Find the angle subtended by an arc if the arc length is 3.14 units and the radius is 1 unit.
Given: Arc length = 3.14
Radius = 1
Angle = Arc length / Radius = 3.14 / 1 = 3.14 radians = 180 degrees (Check the same by angle calculator).
Answer: 180 degrees
Example 2: If the radius of a circle is 5 cm and it has an arc whose length if 10.3 cm, then find the angle in radians subtended by the arc.
It is given that radius = 5 cm and arc length = 10.3 cm.
Now, enter these values in the "Finding angle calculator", and then we get, the angle in radians = 2.06.
Answer: 2.06 radians.
Try the Following:
Find the subtended angle using the angle calculator:
- arc length = 10 and radius = 25
- arc length = 25 and radius = 20
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