Question 1

The circumference of a circle can be found by using C = pi x ____________________.

Accepted Answer

D

Question 2

A circle has an area of 9/16 square inch. What is the radius setting needed to lay out this circle? Express the answer to the nearest thousandth inch.&#10;A) 0.332&#10;B) 0.378&#10;C) 0.423&#10;D) 0.462

Accepted Answer

The area of a circle is given by the formula $A = \pi r^2$, where $A$ is the area and $r$ is the radius. Given $A = \frac{9}{16}$ square inches, we solve for $r$ as follows: $\frac{9}{16} = \pi r^2$. Solving for $r$, we get $r = \sqrt{\frac{9}{16\pi}}$, which approximately equals 0.423 inches.

Question 3

Find the area of a circle with a diameter of 13 centimeters. Express the answer to the nearest thousandth square centimeter.&#10;A) 131.783&#10;B) 132.733&#10;C) 133.378&#10;D) 134.367

Accepted Answer

132.733

Question 4

The diameter of a circle is 0.77 meters. What is the area of the circle to the nearest thousandth square meter?&#10;A) 0.466&#10;B) 0.478&#10;C) 0.489&#10;D) 0.548

Accepted Answer

The area of a circle is given by the formula A = πr², where r is the radius of the circle. The diameter of a circle is twice the radius, so the radius of the circle in this question is 0.77 / 2 = 0.385 meters. Plugging this value into the formula for the area of a circle, we get A = π(0.385)² ≈ 0.466 square meters.

Question 5

Find the diameter of a piston with an area of 57.02 square inches. Express the answer to the nearest hundredth inch.&#10;A) 8.52&#10;B) 8.78&#10;C) 9.01&#10;D) 9.36

Accepted Answer

The area of a circle is given by the formula A = πr², where A is the area and r is the radius. The diameter is twice the radius, so d = 2r. Substituting this into the area formula, we get A = π(d/2)². Solving for d, we get d = √(4A/π). Plugging in the given area of 57.02 square inches, we get d = √(4(57.02)/π) ≈ 8.52 inches.

Question 6

A(n) ____________________ is a simplified way to express what must be done to solve a problem.

Accepted Answer

The answer of A(n) ____________________ is a simplified way to...

Question 7

The circumference of a circle is 37 centimeters. What is the diameter to the nearest thousandth centimeter?&#10;A) 10.444&#10;B) 10.555&#10;C) 11.777&#10;D) 11.888

Accepted Answer

The answer of The circumference of a circle is 37...

Question 8

The value of pi to four decimal places is 3.____________________.

Accepted Answer

The answer of The value of pi to four decimal...

Question 9

If the diameter of a piston is 178 millimeters (mm), find the area of the top of the piston to the nearest tenth square millimeter.&#10;A) 24,750.3&#10;B) 24,884.6&#10;C) 24,966.9&#10;D) 24,973.0

Accepted Answer

The area of the top of the piston is given by the formula:

Area = (π/4) x diameter^2

Substituting the given diameter of 178 mm, we get:

Area = (π/4) x (178)^2
Area ≈ 24,884.6 mm^2 (rounded to the nearest tenth)

Therefore, the best choice is B, 24,884.6, as it is the closest answer to the calculated value.

Question 10

The diameter of a circle is 11 inches. Find the circumference to the nearest thousandth inch.&#10;A) 32.347&#10;B) 33.138&#10;C) 33.342&#10;D) 34.558

Accepted Answer

The answer of The diameter of a circle is 11...

Deck 32: Formulas for Circular Measurement