Math 3 Geometry

Front

What is the standard equation of a circle with center (h, k) and radius r?

Back

The standard equation of a circle is given by: (x - h)² + (y - k)² = r².

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula: V = πr²h, where r is the radius and h is the height.

Front

What is a cross section of a 3D shape?

Back

A cross section is the intersection of a solid and a plane, resulting in a 2D shape.

Front

What are concentric circles?

Back

Concentric circles are circles that share the same center but have different radii.

Front

How do you find the circumference of a circle?

Back

The circumference C of a circle is calculated using the formula: C = 2πr, where r is the radius.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter d of a circle is twice the radius: d = 2r.

Front

What is the area of a circle?

Back

The area A of a circle is given by the formula: A = πr², where r is the radius.

Front

What is the definition of a cylinder?

Back

A cylinder is a 3D shape with two parallel circular bases connected by a curved surface.

Front

What is the formula for the lateral surface area of a cylinder?

Back

The lateral surface area A of a cylinder is given by: A = 2πrh, where r is the radius and h is the height.

Front

What is the relationship between the arc length and the radius of a circle?

Back

The arc length s is proportional to the radius r and the angle θ in radians: s = rθ.