Circle Theorems
What forms if a line is tangent to a circle's radius?
Right angles form
How do you name a 3-D prism?
By their base.
What is the correct label for volume of a pyramid that is in feet?
Cubic feet
What is the standard equation of the circle?
r2 = (x - h)2 +(y - k)2
What is the radius of a circle?
The radius is the distance from a circle's center to any point on its circumference.
What is an inscribed angle?
explain or draw
an angle whose vertex is on the circle and whose sides are radii.
What does B mean in volume?
BIG BASE
Multiply the area of the base
Explain the process of finding the volume of composite figures?
1. Split the figures up
2. Find the volume of each figure
3. Add the volumes together
What is the formula for a cylinder?
V = pi times radius2 times height
What does circumference mean? What is the equation for circumference?
circumference is the measurement of the distance around the circle
C= pi times 2 radius
C= pi times diameter
What happens if two tangent segments to a circle share a common endpoint outside of the circle?
The two segments are congruent and isosceles triangle is formed.
Find the volume of a cube that is 6 feet long.
V = 216 cubic feet
If there are 134 birds in an aviary that is 5 by 12 by 9 yards. What is the number of birds per cubic yard for this aviary?
0.25 birds per cubic yards
3/4 times pi times r3 times 1/2
What is a central angle?
explain or draw
an angle whose vertex is the center of the circle and whose sides are radii.
If my intercepted arc is 64 degrees, what is my central angle and inscribed angle??
central = 64 degrees
inscribed = 32 degrees
Name 3 shapes that could be an intersection of a cone and a plane?
circle, ellipse, and parabola
Which formula(s) would I use to find the volume of a circus tent that has a circular ground?
Cylinder + cone top
what does r, h, and k mean in this formula:
r2 = (x - h)2 +(y - k)2
r= radius
(h,k) is the center coordinate
What do the labels squared feet and cubic feet mean to solve for?
AREA and VOLUME
What would the center and radius be for the equation
x2 + y2 + 6x - 2y = 6
Center (-3,1)
Radius 4
Find the volume of a sphere with the diameter of 10 ft. Give exact and then answer rounded to the nearest tenth of a foot.
V = 500/3 PI cu. ft
V is approx. 523.6 cu. ft
If the ice cream cone is 4.5 inches tall and 2 inches wide, with a half scoop of ice cream on the top, What is the total volume of ice cream in the whole dessert to the nearest tenth of an inch?
about 6.8 cubic inches
What is the distance formula
D = Square root of (x2 - x1 )2 + (y2 - y1 )2
What is the intersection of a 3-D solid and a plane?
Cross section