Geometry Final Exam Study Guide

Front

What is the formula to find the area of a circle?

Back

The area of a circle is given by the formula: A = πr², where r is the radius.

Front

How do you find the area of a shaded sector of a circle?

Back

To find the area of a shaded sector, use the formula: Area = (θ/360) * πr², where θ is the central angle in degrees and r is the radius.

Front

What is a 30-60-90 triangle?

Back

A 30-60-90 triangle is a special right triangle where the sides are in the ratio 1 : √3 : 2.

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is a special right triangle where the sides are in the ratio 1 : 1 : √2.

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

How do you find the arc length of a circle?

Back

Arc length can be found using the formula: Arc Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the center of a circle given by the equation x² + 4x + y² - 8y = 5?

Back

The center of the circle is (-2, 4).

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.