Pi
Geometric
Deg/Radians
100
A circle has a radius of 23 cm. Which of the following is the best estimate for the circumference of the circle?
a. 71.76 cm
b. 143.52 cm
c. 144.44 cm
d. 72.22 cm
c. 144.44 cm
100
In the triangle ABC sides AB and CB have equal lengths and the measure of angle ABC is equal to 36 degrees. What is the measure of angle BOC where O is the center of the circle?
100
Determine the angle formed by the hands of the clock at the following times in radians.
A) 5:30
B) 7:20
a)π/2
b)π/6
200
Find the surface area of a sphere with a radius of 1.5 cm.
a. 28.26 cm2
b. 7.065 cm2
c. 18.84 cm2
d. 14.13 cm2
a. 28.26 cm2
200
ABCD is a parallelogram such that AB is parallel to DC and DA parallel to CB. The length of side AB is 20 cm. E is a point between A and B such that the length of AE is 3 cm. F is a point between points D and C. Find the length of DF such that the segment EF divides the parallelogram in two regions with equal areas.
length of DF=17cm
200
What is tan 90° equal to?
tan 90° is undefined.
300
A satellite in a circular orbit rotates around the Earth every 120 minutes. If the Earth’s radius is 4000 miles at sea level, and the satellite’s orbit is 400 miles above sea level, approximately what distance does the satellite travel in 40 minutes?
a. 1400 miles
b. 9210 miles
c. 4400 miles
d. 4120 miles
d. 4120 miles
300
Find the area of the quadrilateral shown in the figure. Two right angles are the same.
Area of quadrilateral = (1/2)×15×15 + (1/2)×21×3 = 144
300
sin 30° + cos 60° + tan 45° = ?
½ + ½ + 1 = 2
400
A cylindrical oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.
a. 7 3/4 inches
b. 8 inches
c. 8 1/4 inches
d. 8 1/2 inches
b. 8 inches
400
Find the area of the triangle enclosed by the x - axis and the lines y = x and y = -2x + 3.
Area of the shaded triangle = (1/2)(1)(3/2) = 3/4
400
What is the exact value of
2 ( tan 60° )( cos2 60°)?
sqrt 3/2
500
c. pi^2
500
The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm^2. Find angle T in degrees.
sin(T) = (32/7) / 8 = 32/56 = 4/7
T = arcsin(4/7) = 34.8 degrees
500
Prove: (sinx )( tanx) = secx - cosx
LS:
(sinx)(tanx)
=(sinx)(sinx/cosx)
=sin^2x / cosx
= (1 - cos^2x) / cosx
=1/cosx - cos^2x / cosx
= secx - cosx
= RS