Pre-Algebra
Algebra 2
Geometry
Precalculus
100
The diameter of a circle is 10 inches. Find the circumference of the circle, rounded to the nearest hundredth
31.42 inches
100
Find the value of cos (3π/4) using the unit circle
–1/sqr(2)
100
What are the formulas for finding the circumference and the area for a circle?
2 pi r / r2 pi
100
Convert 58π/14 into degrees
1037.14
200
The area of a circle is 36π square units. Find the radius of the circle
6 units
200
Find a coterminal angle between 0° and 360° of the angle below.
640°
280°
200
In a right triangle, one angle is π/3 radians and the hypotenuse is 10 units long. Determine the lengths of the other two sides of the triangle.
a = 5 root 3
b = 5
200
Add the angles and find the total value of the angles in radians
3π/7+250°+7π/4
ANS: 373π/84
300
A cylindrical tank has a diameter of 8 feet and a height of 12 feet. What is the volume of the tank in terms of π?
192π cubic feet
300
Draw an angle with the given measure: –7π/6
300
Consider a circle with a radius of 10 meters. Find the length of an arc subtended by a central angle of 3π/4 radians.
Arc Length=10×(3π/4)
=30π/4
=15π/2
300
root(3)-2cosθ=0 solve for theta
Write the answer in radian form
θ = [π/6+2nπ and 5π/6 +2nπ] or [π/6+nπ]
400
A sector of a circle has a central angle of 3π/4 radians, and the radius of the circle is 10 units. Find the area of the sector
75π/2 square units
400
Find the exact value of the trigonometric function
sec 945°
-root2
400
Given a semicircle with radius r, find the perimeter of the semi-circle in terms of π
πr+2r
400
2cos2θ-1=0 solve for theta
Write the answer in radian form
θ = [π/4+nπ and 3π/4 +nπ] or [π/4+2nπ and 3π/4 +2nπ and 5π/4+2nπ and 7π/4+2nπ]
500
In a circle with radius r, a chord of length 10 units is 6 units away from the center of the circle. Determine the value of r, expressing your answer in terms of π
r = root61
500
Identify the amplitude and period of the following equation.
y=4cos(2θ-(5π/6))-2
Amplitude : 4
Period : π
500
Given a right triangle where one angle is π/3 radians and the hypotenuse is 10 units long, find the lengths of the other two sides of the triangle.
5 root 3 units
500
Draw the equation r = 1-2cosθ with the domain of 0 to 2pi
