| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
The formula for the area of a circle is which of the following?
a = π d |
|
a = π r |
|
a = π r2 |
|
a = π d2 |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
addition |
|
pairs |
|
exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
What is the area of a circle with a diameter of 10?
| 25π | |
| 6π | |
| 2π | |
| 5π |
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
If c = 3 and y = -1, what is the value of -9c(c - y)?
| -75 | |
| -234 | |
| -108 | |
| 408 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-9c(c - y)
-9(3)(3 + 1)
-9(3)(4)
(-27)(4)
-108
If side a = 7, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{58} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 32
c2 = 49 + 9
c2 = 58
c = \( \sqrt{58} \)