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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) |