SSAT Middle Level Math : How to find length of a line

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

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Example Question #1 : How To Find Length Of A Line

The coordinates of and are and . Find the length of the diagonal of the following rectangle:

 

 

R1

Possible Answers:

Correct answer:

Explanation:

A rectangle has two diagonals with the same length. So we should find the length of . We can use the distance formula:

 

Example Question #7 : How To Find Length Of A Line

If a circle has a radius of 12 inches, the biggest line that would be drawn within the circle is:

Possible Answers:

Correct answer:

Explanation:

The largest line that can be drawn within a circle is the diamater. The diameter is equal to twice the radius. Given that the radius is equal to 12 inches, the largest line that could be drawn (the diameter) would be equal to 24 inches. 

Example Question #11 : How To Find Length Of A Line

The diameter of a circle is  centimeters. What is one-fourth of the circle's radius?

Possible Answers:

 

Correct answer:

 

Explanation:

By definition, the radius  and diameter  of a circle are related by the following equation:

Plugging in  as stated in the question, we find that .

Since the question is asking us for the value of :

.

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