DSQ: Calculating the ratio of diameter and circumference - GMAT Quantitative

Statement 1: If we know the circumference, we can calculate the diameter.

If then

Statement 2: We know the diameter of circle B is and that the ratio of the circles. We can set up our proportions and find the diameter:

Statement 1: We're given a ratio (which you should already know) but no values. We need additional information to answer the question.

Statement 2: If we're given the circumference, we can solve for the diameter.

which means

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statement 1: We can calculate the circumference using the given diameter.

Statement 2: To find the circumference, we must first find the radius of the circle using the given area.

We can plug this value into the equation for circumference:

Each statement alone is sufficient to answer the question.

We are asked to find the ratio of the circumference to the diameter of Circle and are given the radius and the area. We also know that . Taking each statement individually:

1.) The radius is and we know that . The diameter . Since we can determine that , Statement 1 is sufficient to solve for the ratio by itself.

2.) The area of the outside circle is , so therefore . Since we can use to determine both the circumference and diameter , Statement 2 is sufficient to solve for the ratio by itself.

To find the ratio of diameter to circumference we need our diameter and circumference.

We can use I to find our radius and from there our diameter and circumference.

II can be used to make a triangle with sides of which we can then use to find the radius and from there the diameter/circumference.

Either statement is sufficient to answer the question.

Statement 1: If we know the circumference, we can calculate the diameter.

If then

Statement 2: We know the diameter of circle B is and that the ratio of the circles. We can set up our proportions and find the diameter:

Statement 1: We're given a ratio (which you should already know) but no values. We need additional information to answer the question.

Statement 2: If we're given the circumference, we can solve for the diameter.

which means

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statement 1: We can calculate the circumference using the given diameter.

Statement 2: To find the circumference, we must first find the radius of the circle using the given area.

We can plug this value into the equation for circumference:

Each statement alone is sufficient to answer the question.

We are asked to find the ratio of the circumference to the diameter of Circle and are given the radius and the area. We also know that . Taking each statement individually:

1.) The radius is and we know that . The diameter . Since we can determine that , Statement 1 is sufficient to solve for the ratio by itself.

2.) The area of the outside circle is , so therefore . Since we can use to determine both the circumference and diameter , Statement 2 is sufficient to solve for the ratio by itself.

To find the ratio of diameter to circumference we need our diameter and circumference.

We can use I to find our radius and from there our diameter and circumference.

II can be used to make a triangle with sides of which we can then use to find the radius and from there the diameter/circumference.

Either statement is sufficient to answer the question.

Statement 1: If we know the circumference, we can calculate the diameter.

If then

Statement 2: We know the diameter of circle B is and that the ratio of the circles. We can set up our proportions and find the diameter:

Statement 1: We're given a ratio (which you should already know) but no values. We need additional information to answer the question.

Statement 2: If we're given the circumference, we can solve for the diameter.

which means

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statement 1: We can calculate the circumference using the given diameter.

Statement 2: To find the circumference, we must first find the radius of the circle using the given area.

We can plug this value into the equation for circumference:

Each statement alone is sufficient to answer the question.

We are asked to find the ratio of the circumference to the diameter of Circle and are given the radius and the area. We also know that . Taking each statement individually:

1.) The radius is and we know that . The diameter . Since we can determine that , Statement 1 is sufficient to solve for the ratio by itself.

2.) The area of the outside circle is , so therefore . Since we can use to determine both the circumference and diameter , Statement 2 is sufficient to solve for the ratio by itself.

To find the ratio of diameter to circumference we need our diameter and circumference.

We can use I to find our radius and from there our diameter and circumference.

II can be used to make a triangle with sides of which we can then use to find the radius and from there the diameter/circumference.

Either statement is sufficient to answer the question.

Statement 1: If we know the circumference, we can calculate the diameter.

If then

Statement 2: We know the diameter of circle B is and that the ratio of the circles. We can set up our proportions and find the diameter:

Statement 1: We're given a ratio (which you should already know) but no values. We need additional information to answer the question.

Statement 2: If we're given the circumference, we can solve for the diameter.

which means

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statement 1: We can calculate the circumference using the given diameter.

Statement 2: To find the circumference, we must first find the radius of the circle using the given area.

We can plug this value into the equation for circumference:

Each statement alone is sufficient to answer the question.

We are asked to find the ratio of the circumference to the diameter of Circle and are given the radius and the area. We also know that . Taking each statement individually:

1.) The radius is and we know that . The diameter . Since we can determine that , Statement 1 is sufficient to solve for the ratio by itself.

2.) The area of the outside circle is , so therefore . Since we can use to determine both the circumference and diameter , Statement 2 is sufficient to solve for the ratio by itself.