Question 1

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

Accepted Answer

D
diameter
the diameter

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.
A) 0.332
B) 0.378
C) 0.423
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.
A) 131.783
B) 132.733
C) 133.378
D) 134.367

Accepted Answer

B

Question 4

The diameter of a circle is 0.77 meters. What is the area of the circle to the nearest thousandth square meter?
A) 0.466
B) 0.478
C) 0.489
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.
A) 8.52
B) 8.78
C) 9.01
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?
A) 10.444
B) 10.555
C) 11.777
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.
A) 24,750.3
B) 24,884.6
C) 24,966.9
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.
A) 32.347
B) 33.138
C) 33.342
D) 34.558

Accepted Answer

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

Quiz 32: Formulas for Circular Measurement

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

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.

Find the area of a circle with a diameter of 13 centimeters. Express the answer to the nearest thousandth square centimeter.

The diameter of a circle is 0.77 meters. What is the area of the circle to the nearest thousandth square meter?

Find the diameter of a piston with an area of 57.02 square inches. Express the answer to the nearest hundredth inch.

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

The circumference of a circle is 37 centimeters. What is the diameter to the nearest thousandth centimeter?

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

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.

The diameter of a circle is 11 inches. Find the circumference to the nearest thousandth inch.