| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
On this circle, line segment AB is the:
chord |
|
diameter |
|
circumference |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If the base of this triangle is 2 and the height is 1, what is the area?
| 1 | |
| 98 | |
| 97\(\frac{1}{2}\) | |
| 12\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 1 = \( \frac{2}{2} \) = 1
Solve for c:
-9c - 2 < -8 + 8c
| c < 1\(\frac{1}{3}\) | |
| c < -\(\frac{3}{4}\) | |
| c < \(\frac{2}{5}\) | |
| c < \(\frac{6}{17}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-9c - 2 < -8 + 8c
-9c < -8 + 8c + 2
-9c - 8c < -8 + 2
-17c < -6
c < \( \frac{-6}{-17} \)
c < \(\frac{6}{17}\)
What is the area of a circle with a diameter of 10?
| 9π | |
| 25π | |
| 64π | |
| 36π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the volume?
| 147π | |
| 288π | |
| 24π | |
| 175π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 6)
v = 24π