Radian Vocabulary
How Many Radians
Convert Measurements
Radius, Radians, or Arc Length
Area of a Sector
100

This is the measurement of the outside of a circle?

What is the circumference?

100

This radian angle comes from a circle has a radius of 4ft and an arc length of 12ft.

What is 3 radians?

100

This converts to 180°.

What is π radians?

100

This is the distance from the center of a circle to the circumference when the circumference is 6π.

What is a radius of 3?

100

This is the area of 1 radian angle from a circle with a radius of 4ft.

A = ½r²∅ 

What is 8ft²?

200

This is the measurement from the center of a circle to the circumference.

What is the radius?

200

This angle measure is the result of converting 3 radians to degrees.

What is approximately 172°?

200

This converts to 270°.

What is 3π/2?

200

This is the radian measure of the central angle of an arc length of 15 on a circle with a circumference of 6π.

What is 5 radians?

200

This is the area of 5 radian angles from a circle with a radius of 2ft.

What is 10ft²?

300

This is formed at the center of a circle due to the intersection of any two radii within the circle.

What is a central angle?

300

This is the percentage of 3 radians of the circumference of a circle.

What is 47.7%?

300

This converts to 6.28 radians.

What is 360°? What is 2π radians?

300

This is the arc length of a 3 radian central angle of a circle with a circumference of 6π.

What is 15?

300

This is the area of a 3 radian sector of a circle with an arc length of 15ft.

What is 37.5ft²?

400

This is the portion of the circumference of a circle determined from multiplying a center angle and the radius.

What is an arc length?

400

This is approximately 3.14 radians.

What is π?

400

This converts to 1/6 of a circle in radians.

What is approximately 1.05 radians.

400

This is the height above the earth for a GPS satellite with an orbit of 78,854 miles.

What is a radius of approximately 12,550 miles?

400

This is the amount of area covered by a GPS satellite when it travels 1/4 of its 78,854 miles orbit around the earth.

What is approximately 123.6 million mi²?

500

In a circle, a central angle that intercepts an arc that is the same length as the radius.

What is 1 radian angle measurement?

500

This is the result of finding 35% of the circumference of a circle in radians and determining the arc length from a radius of 150.

What is approximately 330.

500

This converts from 229°. 

What is 4 radians.

500

This is the distance the earth travels on its 149.6 million km orbit in the 88 days it takes Mercury to completely orbit the sun.

What is approximately 36 million km?

500

This is the area covered by the earth on its 149.6 million km orbit in the time it take Mercury to make two 88 day orbits around the sun.

What is approximately 850.4 million km²?

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