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What is the formula for the surface area of a cylinder?
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Total surface area = 2 x pi x r x (r + h), where r is the radius and h is the height.
How do you calculate the total interior angles of a hexagon?
(6-2) x 180 = 720 degrees.
What is the formula for the area of a trapezium?
A = (a + b)/2 x h, where a and b are the lengths of the parallel sides and h is the height.
What is the formula for the area of a sector of a circle?
A = (theta/360) x pi x r^2, where theta is the angle in degrees.
How do you calculate the area of a triangle using the sine of an angle?
Area = (1/2)ab sin C, where a and b are the lengths of two sides and C is the included angle.
How do you calculate the angle between a regular octagon and a hexagon at a common point?
360 degrees - (angle of hexagon + angle of octagon) = angle between the two shapes.
How do you calculate the bearing from one point to another?
Bearings are measured clockwise from the north direction and are represented with three digits.
How do you calculate the circumference of a circle?
C = pi x diameter.
What is the significance of alternate angles when two lines are crossed by a transversal?
Alternate angles are equal when two lines are parallel and crossed by a transversal.
How do you calculate the volume of a cylinder?
V = pi x r^2 x h, where r is the radius and h is the height.
How do you calculate the surface area of a cuboid?
Total Surface Area = 2(area1 + area2 + area3), where area1, area2, and area3 are the areas of the different faces.
How do you calculate the arc length of a circle?
L = (theta/360) x circumference.
What is the sine rule used for in trigonometry?
The sine rule is used to find unknown sides or angles in non-right triangles when opposite sides and angles are known.
What is the relationship between the angles of a cyclic quadrilateral?
The opposite angles of a cyclic quadrilateral sum to 180 degrees.
What is the formula to find the length of a side in a right triangle if the hypotenuse and one side are known?
c^2 - a^2 = b^2, where c is the hypotenuse and a is the known side.
What is the formula for the volume of a cuboid?
V = base area x height.
What is the formula for the area of a circle?
A = pi x r^2, where r is the radius of the circle.
How do you calculate the hypotenuse of a right triangle given the lengths of the other two sides?
Use Pythagoras' Theorem: a^2 + b^2 = c^2, where c is the hypotenuse.
What is the cosine rule used for in trigonometry?
The cosine rule is used to calculate unknown sides or angles in any triangle.
How do you prove that two triangles are congruent?
Triangles are congruent if they satisfy the SSS, SAS, ASA, or AAS congruence rules.
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