Circles
The equation of a circle in standard form is written as this.
(x - h)² + (y - k)² = r²
The sum of angles on a straight line is always this
180 degrees
The side opposite the right angle in a right triangle is called this
hypotenuse
SOH CAH TOA is used to find these in a right triangle
side lengths or angles
This formula is used to find the circumference of a circle
C = 2πr or C = πd
Two angles that add up to 90 degrees are called this
complementary angles
A triangle with two equal sides is called this
isosceles triangle
The inverse sine function, written as sin⁻¹(x) or arcsin, is used to find this
angle measure
The Law of Cosines is an extension of the Pythagorean Theorem and is used for non-right triangles. State the Law of Cosines formula
c² = a² + b² - 2ab cos(C)
This is the term for a segment that connects two points on a circle but does not pass through the center
chord
The sum of the four angles inside any quadrilateral always equals this
360 degrees
A triangle with one angle greater than 90 degrees is called this
obtuse triangle
If a right triangle has an opposite side of 8 and an adjacent side of 15, then tan(θ) equals this
8/15
This law states that in any triangle, the ratio of a side length to the sine of its opposite angle is always equal for all three sides
(a/sin A) = (b/sin B) = (c/sin C)
If an inscribed angle in a circle intercepts a semicircle, then the angle must be this
90 degrees
A triangle has this many medians
three
In △ABC, angle A = 40°, angle B = 60°, and side a = 10 units. Using the Law of Sines, find the length of side b to the nearest tenth
13.5
The ratio of a circle's circumference to its diameter is always equal to this number
π (pi)
In a regular polygon with n sides, each interior angle can be found using this formula
(180(n-2)) / n
The sum of the lengths of any two sides of a triangle must be greater than this
The third side
If cos(θ) = 0.6, then θ is approximately this many degrees
53 degrees