| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the surface area?
| 180π | |
| 112π | |
| 48π | |
| 196π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 1)
sa = 2π(49) + 2π(7)
sa = (2 x 49)π + (2 x 7)π
sa = 98π + 14π
sa = 112π
If angle a = 62° and angle b = 64° what is the length of angle d?
| 139° | |
| 132° | |
| 118° | |
| 141° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 64° = 54°
So, d° = 64° + 54° = 118°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 62° = 118°
If side x = 9cm, side y = 11cm, and side z = 14cm what is the perimeter of this triangle?
| 28cm | |
| 39cm | |
| 30cm | |
| 34cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 11cm + 14cm = 34cm
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, obtuse, right |
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acute, right, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
circumference |
|
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).