Geometry Formulas
The sphere sa formula
What is 4𝝅r^2?
A regular octagon has area 690 sq ft and side length 20 feet. Find the apothem (round to nearest tenth of foot)
8.6 ft
What is the volume formula?
a^3/b^3
The circumference is 130pie, what is the radius?
65 un
Circles O and P are externally tangent, with common tangents CD and AB
Show: AB bisects CD at X
(Show picture)
(show picture)
The cone sa
What is 𝝅r^2+𝝅rl
A scoop of ice cream, shaped like a sphere with diameter 4 cm, is placed in an ice cream cone with the diameter 5 cm and height 9 cm. Is the cone big enough to hold all the ice cream if it melts?
Yes, the cone has a larger volume and will hold the ice cream.
If a triangle has an SA ratio of 9/16, what will the V ratio be?
27/1024 (you can prob simplify this but I don't want to)
The length of an arc equals the _____ of the arc divided by 360 times the circumference of the circle.
measure
Proof 2 (show pic)
(Show pic)
The sector of a circle area
What is a/360⋅𝝅r^2
Igor, who is 4 ft 4 in tall, wants to find the height of a candy tree in front of his castle. He walks along the shadow of the tree until the end of his shadow exactly overlaps the end of the treetop's shadow. At that poind, he is 25 ft from the foot of the tree and 14 ft from the end of the shadows. How tall is the oak tree to the nearest 0.01 foot?
12.07 ft
True or false: Two congruent chords in the same circle intercept congruent arcs
True
Proof 3 (show pic)
(show pic)
The Annulus area formula
What is 𝝅R^2- 𝝅r^2? (big R - little r)
Terry was outside playing and noticed she had a long shadow. She is 5'4 ft tall and measured the angle of depression of the esun's rays to be 20°. How many feet long is Terrys shadow.
14.6532 ft
What is the exact measure of the angle formed by the hands of a clock if the time is 7:35
a. 0
b. 402.5
c. 35°
d. 17.5
e. None of these
A
Segment of a circle area
a/360⋅𝝅r^2- bh/2
Mr. James wants to coat the ceiling, walls, and floor of a rectangular storeroom with a flame-retardant material that costs 39.95 per gallon. The dimensions of the room are 7m by 9m by 4.5m. If one gallon covers 110 m^2, how much will Mr. James need to spend to protect the store room?
3 gal
Th
The circumference of a round tablecloth is 158 in. Will the tablecloth cover the top of a table with diameter 49 in?