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Geometry
50 flashcards
The sum of the interior angles of any triangle is 180 degrees.
The area of a square is calculated as A = s^2, where s is the length of one side.
A polygon is a closed plane figure composed of line segments that do not cross each other.
A square has four equal sides and four right angles. All its angles are 90 degrees and all sides have equal lengths.
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
A circle is a set of points in a plane that are equidistant from a given point (the center). It has no sides or vertices.
The circumference of a circle is calculated as C = 2ฯr, where r is the radius of the circle.
The area of a circle is calculated as A = ฯr^2, where r is the radius of the circle.
The sum of the exterior angles of any polygon is 360 degrees.
A regular polygon is a polygon with all sides and angles equal.
The area of a triangle is calculated as A = 1/2 * base * height.
The volume of a cube is calculated as V = s^3, where s is the length of one side.
The volume of a sphere is calculated as V = (4/3) * ฯ * r^3, where r is the radius.
The surface area of a sphere is calculated as SA = 4 * ฯ * r^2, where r is the radius.
The volume of a cylinder is calculated as V = ฯ * r^2 * h, where r is the radius and h is the height.
The surface area of a cylinder is calculated as SA = 2ฯr(r + h), where r is the radius and h is the height.
The sum of the interior angles of any quadrilateral is 360 degrees.
The area of a trapezoid is calculated as A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the parallel bases and h is the height.
There is no exact formula for the circumference of an ellipse, but it can be approximated using numerical methods.
The sum of the interior angles of a regular pentagon is 540 degrees.
The area of a parallelogram is calculated as A = b * h, where b is the base and h is the height.
The volume of a cone is calculated as V = (1/3) * ฯ * r^2 * h, where r is the radius of the base and h is the height.
The surface area of a cone is calculated as SA = ฯ * r * (r + sqrt(r^2 + h^2)), where r is the radius of the base and h is the height.
The volume of a pyramid is calculated as V = (1/3) * B * h, where B is the area of the base and h is the height.
The sum of the interior angles of a regular hexagon is 720 degrees.
The area of a kite is calculated as A = (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.
The volume of a prism is calculated as V = B * h, where B is the area of the base and h is the height.
The surface area of a prism is calculated as SA = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height.
The volume of a sphere is calculated as V = (4/3) * ฯ * r^3, where r is the radius.
The surface area of a sphere is calculated as SA = 4 * ฯ * r^2, where r is the radius.
The volume of a pyramid is calculated as V = (1/3) * B * h, where B is the area of the base and h is the height.
The surface area of a pyramid is calculated as SA = B + (1/2) * P * h, where B is the area of the base, P is the perimeter of the base, and h is the slant height.
The volume of a cone is calculated as V = (1/3) * ฯ * r^2 * h, where r is the radius of the base and h is the height.
The surface area of a cone is calculated as SA = ฯ * r * (r + sqrt(r^2 + h^2)), where r is the radius of the base and h is the height.
The volume of a cylinder is calculated as V = ฯ * r^2 * h, where r is the radius and h is the height.
The surface area of a cylinder is calculated as SA = 2ฯr(r + h), where r is the radius and h is the height.
The area of a triangle is calculated as A = (1/2) * b * h, where b is the base and h is the height.
The perimeter of a polygon is calculated by adding the lengths of all its sides.
The area of a rectangle is calculated as A = l * w, where l is the length and w is the width.
The area of a rhombus is calculated as A = (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.
The area of a circle is calculated as A = ฯ * r^2, where r is the radius.
The circumference of a circle is calculated as C = 2 * ฯ * r, where r is the radius.
The volume of a cube is calculated as V = s^3, where s is the length of one side.
The surface area of a cube is calculated as SA = 6 * s^2, where s is the length of one side.
The volume of a rectangular prism is calculated as V = l * w * h, where l is the length, w is the width, and h is the height.
The surface area of a rectangular prism is calculated as SA = 2 * (l * w + l * h + w * h), where l is the length, w is the width, and h is the height.
The volume of a triangular prism is calculated as V = (1/2) * B * h, where B is the area of the base and h is the height.
The surface area of a triangular prism is calculated as SA = B + (1/2) * P * h, where B is the area of the base, P is the perimeter of the base, and h is the height.
The volume of a cylinder is calculated as V = ฯ * r^2 * h, where r is the radius and h is the height.
The surface area of a cylinder is calculated as SA = 2ฯr(r + h), where r is the radius and h is the height.