To link to this angle plane angles - rotation to radians units converter, only cut and paste the following code into your html. The link will appear on your page as: on the web units converter from rotation rot to radians rad. Online rotations to radians conversion calculator convert-to. Specific rotation to radian Conversion Results. We multiply by the appropriate conversion factor to convert between degrees and radians.
Arclength Formula. On a unit circle , the measure of a positive angle in radians is equal to the length of the arc it spans. For Problems 3—6, express each fraction of one complete rotation in degrees and in radians. For Problems 9—10, give a decimal approximation to hundredths for each angle in radians. Locate and label each angle from Problem 9 on the unit circle below. The circle is marked off in tenths of a radian.
Locate and label each angle from Problem 10 on the unit circle below. From the list below, choose the best decimal approximation for each angle in radians in Problems 13— For Problems 33—37, use the arclength formula to answer the questions.
Round answers to hundredths. Find the angle subtended by an arclength of 28 centimeters on a circle of diameter 20 centimeters. Find the angle subtended by an arclength of 1. Through how many radians does the minute hand of a clock sweep between pm and pm?
The dial of Big Ben's clock in London is 23 feet in diameter. How long is the arc traced by the minute hand between pm and pm? The largest clock ever constructed was the Floral Clock in the garden of the World's Fair in St.
The hour hand was 50 feet long, the minute hand was 75 feet long, and the radius of the clockface was feet. If you started at the 12 and walked feet clockwise around the clockface, through how many radians would you walk? If you started your walk at noon, how long would it take the minute hand to reach your position?
How far did the tip of the minute hand move in its arc? In Jean-Bernard Foucault demonstrated the rotation of the earth with a pendulum installed in the Pantheon in Paris. Foucault's pendulum consisted of a cannonball suspended on a 67 meter wire, and it swept out an arc of 8 meters on each swing. Through what angle did the pendulum swing? Give your answer in radians and then in degrees, rounded to the nearest hundredth.
A wheel with radius 40 centimeters is rolled a distance of centimeters on a flat surface. Through what angle has the wheel rotated? Give your answer in radians and then in degrees, rounded to one decimal place. Clothes dryers draw 3.
A vigorous spin cycle reduces the time needed for drying, and some front-loading models spin at a rate of rotations per minute. If the radius of the drum is 11 inches, how far do your socks travel in one minute? The Hubble telescope is in orbit around the earth at an altitude of kilometers, and completes one orbit in 97 minutes. How far does the telescope travel in one hour?
The radius of the earth is kilometers. For example, 1 radian can be written as 1 rad, 1 c , 1 r, or 1 R. Radians are often expressed using their definition. Thus, radians may also be expressed as the formula of arc length over the radius. You are here. Revolution Value:. Results in Radians:. Do you want to convert radians to revolutions?
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