Semester Exam Review

Front

What is a scale model?

Back

A scale model is a physical representation of an object that maintains accurate relationships between its dimensions, often used to represent larger structures in a smaller size.

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How do you calculate the height of a scale model using a given scale?

Back

To calculate the height of a scale model, use the formula: Height of model = (Height of actual object) x (Scale factor). For example, if 5 inches represents 100 feet, then the height of the model of the Eiffel Tower (980 feet) is 49 inches.

Front

What is the formula for the circumference of a circle?

Back

The formula for the circumference (C) of a circle is C = πd, where d is the diameter.

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How can you express π using the circumference and diameter of a circle?

Back

π can be expressed as π = C/d, where C is the circumference and d is the diameter.

Front

What is the relationship between diameter and circumference?

Back

The circumference of a circle is directly proportional to its diameter, with π being the constant of proportionality.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to find unknown values.

Front

How do you find the height of an object using proportions?

Back

To find the height of an object using proportions, set up a ratio comparing the height of a known object to the height of the unknown object, and solve for the unknown.

Front

What is the formula for the circumference of a circle given its diameter?

Back

The formula is C = πd. For a diameter of 8.5 feet, the circumference is approximately 26.7 feet.

Front

What is the value of π?

Back

π is approximately 3.14, but it is an irrational number and cannot be expressed exactly as a fraction.