Giant Circle Challenge

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.

Front

How do you calculate the circumference of a circle?

Back

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

Front

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

Back

The diameter of a circle is twice the length of the radius. The formula is d = 2r, where d is the diameter and r is the radius.

Front

What is π (pi) and why is it important in circle calculations?

Back

π (pi) is a mathematical constant approximately equal to 3.14159. It is important in circle calculations as it relates the circumference and diameter of a circle.

Front

If the radius of a circle is doubled, how does the area change?

Back

If the radius is doubled, the area increases by a factor of four, since area is proportional to the square of the radius (A = π(2r)² = 4πr²).

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.

Front

How do you find the radius if you know the area of a circle?

Back

To find the radius from the area, use the formula r = √(A/π), where A is the area.

Front

What is the relationship between the area and circumference of a circle?

Back

The area and circumference of a circle are related through the radius. The area is proportional to the square of the radius, while the circumference is proportional to the radius.

Front

What is the formula for the surface area of a sphere?

Back

The surface area of a sphere is calculated using the formula SA = 4πr², where SA is the surface area and r is the radius.

Front

How do you convert between diameter and circumference?

Back

To convert between diameter and circumference, use the formula C = πd, where C is the circumference and d is the diameter.