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geometry test 4/10
arc length, segments, sectors, volume and surface area of 3d shapes, radians
Term | Definition |
---|---|
area of a circle | πr^2 |
convert degrees to radians | π/180 |
convert radians to degrees | 180/π |
arc length formula | (m/360) * 2πr |
sector area formula | (m/360) * πr^2 |
general arc length formula | fraction * cirumference |
general sector area formula | fraction * area |
segment area formula | (m/360 * πr^2) - (1/2b*h) |
general segment area formula | sector area - triangle area |
B | area of base |
h | height |
height | distance between bases |
P | perimeter of base |
volume of prism/cylinder | B * h |
volume of pyramid/cone | (1/3)B * h |
volume of sphere | (4/3)πr^3 |
lateral area of prism/cylinder | P * h |
surface area of prism/cylinder | P * h + 2B |
lateral area of pyramid/cone | (1/2)P * ℓ |
ℓ | slant height |
surface area of pyramid/cone | (1/2)P * ℓ + B |
surface area of sphere | 4πr^2 |
circumference of a circle | 2πr |
what can B be replaced with in the volume formula for a cylinder/cone? | area of a circle (πr^2) |
what can P be replaced with in the surface area and lateral area formula for a cylinder/cone? | circumference of a circle (2πr) |