Geometry Final Review

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula V = 4/3πr^3, where r is the radius.

Front

What is the area of a circle?

Back

The area of a circle is given by the formula A = πr^2, where r is the radius.

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): a^2 + b^2 = c^2.

Front

What are the properties of a right triangle?

Back

A right triangle has one angle that is exactly 90 degrees, and the sides opposite the acute angles are called the legs, while the side opposite the right angle is called the hypotenuse.

Front

What is the most common right triangle?

Back

The most common right triangle is the 3, 4, 5 triangle, which follows the Pythagorean theorem.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula A = 1/2 * base * height.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula C = 2πr, where r is the radius.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the length of the radius: d = 2r.

Front

How do you find the area of a shaded region in a circle?

Back

To find the area of a shaded region in a circle, subtract the area of the unshaded part from the total area of the circle.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is given by the formula A = length * width.