| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r |
|
c = π r2 |
|
c = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If a = 5, b = 5, c = 8, and d = 6, what is the perimeter of this quadrilateral?
| 14 | |
| 24 | |
| 28 | |
| 7 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 5 + 8 + 6
p = 24
What is the area of a circle with a radius of 2?
| 16π | |
| 4π | |
| 7π | |
| 3π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 - a2 |
|
c2 + a2 |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
What is 5a + 6a?
| 11a2 | |
| 11a | |
| -a2 | |
| 30a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 6a = 11a