a circle has an area of 121 in which of the following is the circumference of the circle in terms of pi

ATI TEAS 7

TEAS Practice Test Math

1. A circle has an area of 121π in². Which of the following is the circumference of the circle in terms of pi (π)?

A. 11π in
B. 22π in
C. 44π in
D. 5.5π in

Correct answer: B

Rationale: To find the circumference of the circle, we first need to determine the radius. Given that the area of the circle is 121π in², we use the formula for the area of a circle (A = πr²) to find the radius squared. So, r² = 121, which means the radius (r) is 11 in. The circumference of a circle is calculated using the formula 2πr. Substituting the radius value of 11 in, we get 2π(11) = 22π in. Therefore, the correct answer is 22π in. Choice A (11π in), Choice C (44π in), and Choice D (5.5π in) are incorrect because they do not correctly calculate the circumference based on the given area of the circle.

2. What is the primary cause of acne vulgaris, commonly known as acne?

A. Dry skin
B. Clogged pores and excess oil production
C. Bacterial infection alone
D. Vitamin deficiency

Correct answer: B

Rationale: The primary cause of acne vulgaris is clogged pores and excess oil production. Acne develops when hair follicles become clogged with oil and dead skin cells, creating an environment for bacteria to thrive, leading to inflammation and acne breakouts. While dry skin, bacterial infection alone, and vitamin deficiency can contribute to acne, they are not the main underlying cause. Therefore, the correct answer is clogged pores and excess oil production, as they form the basis for the development of acne vulgaris.

3. What is 0.004 as a simplified ratio?

A. 1:250
B. 4:35
C. 7:28
D. 4:00

Correct answer: A

Rationale: To convert 0.004 to a ratio, we first express it as 4/1000, which simplifies to 1/250. Hence, 0.004 is equivalent to the simplified ratio of 1:250. Choice B, 4:35, is incorrect as it does not reflect the correct conversion. Choice C, 7:28, is incorrect because it does not represent the simplified ratio of 0.004. Choice D, 4:00, is incorrect as it does not simplify to the original decimal value.

4. In which of the following word pairs does the noun become a verb when the suffix is added?

A. Biology, Biologist
B. Apology, Apologize
C. Happy, Happily
D. Mineral, Mineralogy

Correct answer: B

Rationale: The correct answer is B. 'Apology' transforms into 'apologize' when the suffix is added, changing the word from a noun to a verb. In this case, the suffix '-ize' is added to the noun 'apology' to form the verb 'apologize.' Choices A, C, and D do not involve a transformation from a noun to a verb when a suffix is added. 'Biology' and 'biologist' are related but not in a noun-to-verb transformation. 'Happy' and 'happily' involve an adjective-to-adverb transformation. 'Mineral' and 'mineralogy' are related terms in the same field but do not show a noun-to-verb change.

5. Which property of matter refers to the force of gravity acting on an object?

A. Mass
B. Weight
C. Density
D. Volume

Correct answer: B

Rationale: Weight is the property of matter that refers to the force of gravity acting on an object. Mass is the amount of matter in an object, not affected by gravity. Density is the mass per unit volume of a substance, not directly related to gravity. Volume is the amount of space that an object occupies, not a measure of gravity's force.