Radians & Degrees
Complete the relationship: 180 degrees = _____ radians.
What is π radians
This measurement represents the distance between two points along the curved edge of a circle.
What is arc length
This is the side where an angle ends after rotating from its initial side.
What is the terminal side
This is the set of all x-coordinates in a relation.
What is the domain
Given f(x)=4x+3, find f(−8).
What is -29
Convert 150 degrees to radians. Simplify completely.
What is 5π/6 radians
A circle has a radius of 5 centimeters and a central angle of 2 radians. Find the arc length.
What is 10cm
Give one positive angle coterminal with 75 degrees
What is 435 degrees
Find the domain and range of {(−3,5),(0,6),(5,−2),(7,−2),(11,−1)}.
What are domain: {-3, 0, 5, 7, 11}
What are range: {-2, -1, 5, 6}
Given f(x)=6(√x)−9, find f(144).
What is 63
Convert 7π/4 radians to degrees.
What is 315 degrees
A circle has a radius of 8 meters and a central angle of 3π/4. Find the arc length.
What is 6π m
Give one negative angle coterminal with 7π/6 radians
What is -5π/6 radians
Is {(1,4),(2,5),(1,7),(3,8)} a function? If so, state range and domain
What is no
Given h(k)=−9k, find h(−2q). Simplify.
What is 18q
Convert −225 degrees to radians. Simplify completely.
What is −5π/4 radians?
An arc is 14π inches long in a circle with a radius of 7 inches. Find the central angle.
What is 2π radians
Find the reference angle of 230 degrees
What is 50 degrees
A relation is defined by y=2 for −4≤x<1 and y=−3 for 1≤x≤5. Is it a function? If so, state range and domain
What is yes.
Domain: {-4, 5}
Range: {-3, 2}
Given g(w)=w2, find g(y+9). Simplify completely.
What is y2+18y+81
A wheel completes 7.5 full revolutions. Find the total angle traveled in both degrees and radians.
What are 2700 degrees and 15π radians
An arc is 15π centimeters long and has a central angle of 225 degrees. Find the radius of the circle.
What is 12 cm
Find the least positive angle coterminal with −765 degrees. Then find its reference angle
What are 315 degrees and 45 degree?
A graph crosses y=−6 at the closed points (−3,−6) and (3,−6). It also has an open circle at (7,−6). Solve g(x)=−6.
What are x=−3 and x=3?
Given f(x)=2x2−3x+1, find f(a−2). Simplify completely.
What is 2a2-11a+15