Examples
1. Triangles
Two of the angles in a triangle are [math]27^{\circ}[/math] and [math]56^{\circ}[/math]. How large is the third angle?
Is the triangle of the previous question acute, right-angled or obtuse?
2. Triangles
How large is the angle [math]\alpha[/math] in the above triangle?
3. Quadrilaterals
The above shape is called
What is the area of the above shape?
What is the perimeter of the above shape?
3. Circle
The area [math]A[/math] of the above [math]90^{\circ}[/math] sector is [math]19 \, \mathrm{m^2}[/math]. What is the area of the colored part of the circle in square meters?
The area [math]A[/math] of the above [math]90^{\circ}[/math] sector can also be calculated with the following formula:[br][br][math]\large A = \frac{br}{2}, [/math][br][br]where [math]b[/math] is the length of the arc corresponding to the sector, and [math]r[/math] is the radius of the circle. Using this formula, determine the radius of the circle in meters when the arc corresponding to the [math]90^{\circ}[/math] sector is [math]10 \, \mathrm{m}[/math] long.
4. Cylinder
The height of the above cylinder is...
5. Pyramid
The height of the above square pyramid is...