Table of Contents
What is the length of an arc that subtends a central angle?
One radian is the central angle that subtends an arc length of one radius (s = r). Since all circles are similar, one radian is the same value for all circles. The arc measure of the central angle of an entire circle is 360º and the radian measure of the central angle of an entire circle = 2π.
How do you find the length of an arc given the radius?
To find the arc length, set up the formula Arc length = 2 x pi x radius x (arc’s central angle/360), where the arc’s central angle is measured in degrees.
How do you find the central angle of a circle?
A central angle is defined as the angle subtended by an arc at the center of a circle. The radius vectors form the arms of the angle. A central angle is calculated using the formula: Central Angle = Arc length(AB) / Radius(OA) = (s × 360°) / 2πr, where ‘s’ is arc length, and ‘r’ is radius of the circle.
What is the radius of the arc length?
Radius = 3.6 central angle 63.8 degrees. Arc Length equals? Click the “Arc Length” button, input radius 3.6 then click the “DEGREES” button. Enter central angle =63.8 then click “CALCULATE” and your answer is Arc Length = 4.0087.
What is the radius of a circle with a central angle 123?
Let’s try inputting degrees again. 2b) A circle’s arc length is 4.9 with a central angle of 123 degrees. What is the radius? Click the “Radius” button, enter arc length = 4.9 then click the “DEGREES” button. Enter central angle =123 then click “CALCULATE” and your answer is Radius = 2.2825.
How to find arc length from central angle and chord length?
Or the central angle and the chord length: 1 Divide the central angle in radians by 2 and perform the sine function on it. 2 Divide the chord length by double the result of step 1. This calculation gives you the radius. 3 Multiply the radius by the central angle to get the arc length.
How do you calculate the radius of a circle in Excel?
Click the “Radius” button, input arc length 5.9 and central angle 1.67. Click “CALCULATE” and your answer is radius = 3.5329. Let’s try inputting degrees again. 2b) A circle’s arc length is 4.9 with a central angle of 123 degrees.