| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
What is the circumference of a circle with a radius of 16?
| 36π | |
| 19π | |
| 32π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π
On this circle, line segment CD is the:
circumference |
|
radius |
|
diameter |
|
chord |
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).
What is the area of a circle with a diameter of 10?
| 16π | |
| 64π | |
| 7π | |
| 25π |
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
Simplify (3a)(7ab) - (9a2)(5b).
| 66ab2 | |
| 140ab2 | |
| -24a2b | |
| 140a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(7ab) - (9a2)(5b)
(3 x 7)(a x a x b) - (9 x 5)(a2 x b)
(21)(a1+1 x b) - (45)(a2b)
21a2b - 45a2b
-24a2b
The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the surface area?
| 48π | |
| 8π | |
| 224π | |
| 60π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 6)
sa = 2π(64) + 2π(48)
sa = (2 x 64)π + (2 x 48)π
sa = 128π + 96π
sa = 224π