coterminal angles - reference angles - arc length AWS
coterminal angles - reference angles - arc length - sector area
September 09, 2016
TASK UNIT 2 - Circular Functions coterminal angles - reference angles arc length - area of a sector
• Draw an angle in standard position that measures 120 degrees. • Find 3 additional angles that have the same initial and terminal side.
angular motion 9/9/16
Angles are co-terminal if and only if their degree measures are different by multiples of 360 degrees. Example:
and
Find the positive and negative co-terminal angles when
coterminal angles - reference angles - arc length - sector area
Find the positive and negative co-terminal angles when
September 09, 2016
Find the positive and negative co-terminal angles when
and the domain is [-360,360]
Find the positive and negative co-terminal angles when
Find the positive and negative co-terminal angles when
coterminal angles - reference angles - arc length - sector area
TASK • Draw an angle in standard position that measures . • Find 2 additional angles that have the same initial and terminal side.
September 09, 2016
Find a negative and positive co-terminal angles.
coterminal angles - reference angles - arc length - sector area
PRACTICE
September 09, 2016
Reference Angles Associated with every angle drawn in standard position (except quadrantal angles) there is another angle called the reference angle.
coterminal angles - reference angles - arc length - sector area
The reference angle is the ACUTE ANGLE formed by the terminal side of the given angle and the xaxis.
Find the reference angle given the value of theta.
September 09, 2016
Find the reference angle given the value of theta.
Find the reference angle given the value of theta.
coterminal angles - reference angles - arc length - sector area
September 09, 2016
Find the reference angle given the value of theta.
TASK FIND THE AREA OF A SECTOR OF A CIRCLE WITH A RADIUS OF 2 FEET FORMED BY AN ANGLE OF 30 DEGREES. ROUND THE ANSWER TO TWO DECIMALS PLACES.
TASK FIND THE ARC LENGTH OF A SECTOR OF A CIRCLE WITH A RADIUS 2 FEET FORMED BY AN ANGLE OF 30 DEGREES. ROUND THE ANSWER TO TWO DECIMALS PLACES.
coterminal angles - reference angles - arc length - sector area
The measure in radians of a central angle of the circle is equal to the ratio of the length of the intercepted arc (s) to the radius (r) of the circle.
September 09, 2016
Formulas Related to the Circle Arc Length Area
What is the formula to find the intercepted arc?
Find the length of the intercepted arc in each circle with a central angle of and a radius of 5 cm.
Find the area of the sector of the circle.
Linear Speed Angular Speed
Find the approximate area of a hand held fan that is 26 inches in length that opens to a maximum angle of 130
coterminal angles - reference angles - arc length - sector area
A bicycle messenger rides a bicycle with tires that have a diameter of 30 inches. A) During one delivery the tires rotate at a rate of 140 revolutions per minute. Find the angular speed of the tire in radians per minute.
September 09, 2016
B) On part of the trip to the next delivery the tire turns at a constant rate of 2.5 revolutions per second. Find the linear speed of the tires in miles per hour.
September 09, 2016
TASK UNIT 2 - Circular Functions coterminal angles - reference angles arc length - area of a sector
• Draw an angle in standard position that measures 120 degrees. • Find 3 additional angles that have the same initial and terminal side.
angular motion 9/9/16
Angles are co-terminal if and only if their degree measures are different by multiples of 360 degrees. Example:
and
Find the positive and negative co-terminal angles when
coterminal angles - reference angles - arc length - sector area
Find the positive and negative co-terminal angles when
September 09, 2016
Find the positive and negative co-terminal angles when
and the domain is [-360,360]
Find the positive and negative co-terminal angles when
Find the positive and negative co-terminal angles when
coterminal angles - reference angles - arc length - sector area
TASK • Draw an angle in standard position that measures . • Find 2 additional angles that have the same initial and terminal side.
September 09, 2016
Find a negative and positive co-terminal angles.
coterminal angles - reference angles - arc length - sector area
PRACTICE
September 09, 2016
Reference Angles Associated with every angle drawn in standard position (except quadrantal angles) there is another angle called the reference angle.
coterminal angles - reference angles - arc length - sector area
The reference angle is the ACUTE ANGLE formed by the terminal side of the given angle and the xaxis.
Find the reference angle given the value of theta.
September 09, 2016
Find the reference angle given the value of theta.
Find the reference angle given the value of theta.
coterminal angles - reference angles - arc length - sector area
September 09, 2016
Find the reference angle given the value of theta.
TASK FIND THE AREA OF A SECTOR OF A CIRCLE WITH A RADIUS OF 2 FEET FORMED BY AN ANGLE OF 30 DEGREES. ROUND THE ANSWER TO TWO DECIMALS PLACES.
TASK FIND THE ARC LENGTH OF A SECTOR OF A CIRCLE WITH A RADIUS 2 FEET FORMED BY AN ANGLE OF 30 DEGREES. ROUND THE ANSWER TO TWO DECIMALS PLACES.
coterminal angles - reference angles - arc length - sector area
The measure in radians of a central angle of the circle is equal to the ratio of the length of the intercepted arc (s) to the radius (r) of the circle.
September 09, 2016
Formulas Related to the Circle Arc Length Area
What is the formula to find the intercepted arc?
Find the length of the intercepted arc in each circle with a central angle of and a radius of 5 cm.
Find the area of the sector of the circle.
Linear Speed Angular Speed
Find the approximate area of a hand held fan that is 26 inches in length that opens to a maximum angle of 130
coterminal angles - reference angles - arc length - sector area
A bicycle messenger rides a bicycle with tires that have a diameter of 30 inches. A) During one delivery the tires rotate at a rate of 140 revolutions per minute. Find the angular speed of the tire in radians per minute.
September 09, 2016
B) On part of the trip to the next delivery the tire turns at a constant rate of 2.5 revolutions per second. Find the linear speed of the tires in miles per hour.
