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What is the length of an arc with a radius of 5 and the central angle is 120 degrees?
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
What is the length of the arc formed by central angle 2x?
If the angle is 2x radians then the length of the arc is 2x*r units where the radius of curvature is r units. If you measure the angle in degrees, then the length of the arc is pi*x*r/90 units.
What is the length of the miror arc with an angle of 82 degrees?
radius*82*pi/180 units. radius*82*pi/180 units. radius*82*pi/180 units. radius*82*pi/180 units.
How do you draw a line 12 long at a 22.5 degree angle?
Draw a circle with radius of 12 units and draw the horizontal diameter. Draw the perpendicular bisector for this line. Bisect the angle that is formed above the horizontal line. Again, bisect the angle that is formed above the horizontal line: extend this line to the circumference of the circle. This line will be 12 units long because it is a radius of the circle. It is a quarter (half of half) of the 90 degree angle and so the incline is 22.5 degrees.
What is the area of a sector with a central angle of 32 and a radius of 8.5?
Area of sector = (32*pi*8.52)/360 = 20.18 square units correct to 2 dp
