| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
On this circle, line segment AB is the:
radius |
|
circumference |
|
chord |
|
diameter |
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).
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
equal angle |
|
parallel |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
If side a = 5, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{113} \) | |
| \( \sqrt{61} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{58} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 62
c2 = 25 + 36
c2 = 61
c = \( \sqrt{61} \)
The dimensions of this cylinder are height (h) = 5 and radius (r) = 5. What is the surface area?
| 64π | |
| 176π | |
| 110π | |
| 100π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 5)
sa = 2π(25) + 2π(25)
sa = (2 x 25)π + (2 x 25)π
sa = 50π + 50π
sa = 100π
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
π r2h |
|
4π r2 |
|
2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.