Geometry B MTH208 Week of 9/15/2025

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

Calculate the hypotenuse when a = 9 and b = 40.

Back

c = 41 (Using the Pythagorean Theorem: 9² + 40² = c² => 81 + 1600 = c² => c² = 1681 => c = 41).

Front

What is the formula for the area of a circle?

Back

The area (A) of a circle is calculated using the formula A = πr², where r is the radius.

Front

Calculate the area of a circle with a radius of 2.6 inches using π = 3.14.

Back

A = 3.14 * (2.6)² = 21.2 in².

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is calculated using the formula C = 2πr, where r is the radius.

Front

Calculate the circumference of a circle with a radius of 13.8 meters using π = 3.14.

Back

C = 2 * 3.14 * 13.8 = 86.66 meters.

Front

What is a composite figure?

Back

A composite figure is a shape that is made up of two or more simple geometric shapes.

Front

How do you find the total area of a composite figure?

Back

To find the total area of a composite figure, calculate the area of each simple shape and then sum them up.

Front

What is the formula for the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula A = length × width.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle is calculated using the formula A = 1/2 × base × height.