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  1. Problems
  2. /Trigonometry
  3. /Angles and Radian Measure

Angles and Radian Measure

Mathematics
+ Upload a Problem
More in TrigonometryTrigonometric RatiosTrigonometric IdentitiesHeights and DistancesAngles and Radian MeasureTrigonometric Functions and GraphsCompound and Multiple AnglesTrigonometric Equations
11 problems
Type:
1.
A motor pulley of radius 4 cm turns at 1500 revolutions per minute. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Hard
2.
A sprinkler throws water 7.5 m and turns back and forth through 110°. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Medium
3.
The minute hand of a clock is 9 cm long. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Medium
4.
Arcs of the same length in two different circles subtend 40° and 50° at their centres. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Medium
5.
A pendulum is 60 cm long. As it swings, its tip moves along an arc of 15 cm. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Easy
6.
Find each interior angle of a regular octagon in radians. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Medium
7.
The angles of a triangle are in the ratio 3 : 5 : 7. Find each angle in radians and in degrees. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Medium
8.
Change 160° and -22° 30' into radians, as fractions of π and as decimals to four places. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Easy
9.
For the angle 1985°, find the smallest positive angle and the largest negative angle with the same… New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Easy
10.
A ship's log gives its latitude as 18° 42' 27'' N. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Easy
11.
Kabir opens a safe. He turns its dial clockwise through 2 full turns and then 140° more. New
High School (11–12) · Angles and Radian MeasureStemPy LabStemPy Lab
Medium