| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The formula for the area of a circle is which of the following?
a = π r |
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a = π d2 |
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a = π d |
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a = π r2 |
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.
The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the surface area?
| 32π | |
| 24π | |
| 176π | |
| 112π |
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
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
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c2 + a2 |
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a2 - c2 |
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c2 - a2 |
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, \(c = \sqrt{a + b}\)
On this circle, line segment AB is the:
circumference |
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radius |
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diameter |
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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).
Solve for b:
7b - 8 < 8 + b
| b < -2 | |
| b < -4 | |
| b < -1 | |
| b < 2\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
7b - 8 < 8 + b
7b < 8 + b + 8
7b - b < 8 + 8
6b < 16
b < \( \frac{16}{6} \)
b < 2\(\frac{2}{3}\)