| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is the area of a circle with a radius of 2?
| 4π | |
| 64π | |
| 9π | |
| 7π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If angle a = 52° and angle b = 54° what is the length of angle c?
| 117° | |
| 74° | |
| 77° | |
| 67° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 52° - 54° = 74°
On this circle, line segment AB is the:
diameter |
|
chord |
|
radius |
|
circumference |
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).
Solve for b:
8b - 7 < 3 - 5b
| b < -2\(\frac{1}{3}\) | |
| b < 3 | |
| b < \(\frac{10}{13}\) | |
| b < 1 |
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.
8b - 7 < 3 - 5b
8b < 3 - 5b + 7
8b + 5b < 3 + 7
13b < 10
b < \( \frac{10}{13} \)
b < \(\frac{10}{13}\)
If side a = 3, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{113} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{50} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 82
c2 = 9 + 64
c2 = 73
c = \( \sqrt{73} \)