Geometry Advanced Finals

4th proportional

a/b = c/d or a:b = c:d

Acute Triangle

a²+b²>c²

Area of Circle

πr²

Arithmatic Mean

(same as average) Numbers added/amount of numbers

Center formula

(h,k)

Circumference of circle

2πr

Cone LA

πrh

Cone TA

πrh + πr²

Cone V

πr²(h/3)

Cylinder LA

2πr(h)

Cylinder TA

2πr(h) + 2 (πr²)

Cylinder V

πr²h

Distance Formula

d = √[( x₂

Equation of circle

(x

Formula for amount of sides of reg polygon

360/ exterior angle or

360/180

x

Formula for measure of each interior angle

180 (n

n

Formula for sum of interior angles

180 (n

Geometric Mean

ex. 15/x = x/40 x²= 400 x = +or

Measure of each exterior angle

360/n

Mid point formula

Mid point Mid point what do you do? Add them together and divide by 2

Midpoint of Trapizoid

1/2 (b1 + b2) = m

Obtuse Triangle

a²+b²<c²

Prism LA

Ph (P=Perimeter of base)

Prism TA

2(B) + Ph

Prism V

Bh (B=Area of base)

Pyramid LA

1/2 (P) ℓ

Pyramid TA

1/2 (P) ℓ + B

Pyramid V

B (h/3)

Right triangle

a²+b²=c²

Sphere TA/SA (same thing)

4 π r²

Sphere V

4/3 π r³