Flashcards on Circles

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What is a circle?

A circle is a closed curve in which all points are equidistant from a fixed point called the center.

What is the formula to find the circumference of a circle?

The formula to find the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.

What is the formula to find the area of a circle?

The formula to find the area of a circle is A = πr^2, where A represents the area and r represents the radius.

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

The diameter of a circle is twice the length of its radius.

What is the value of pi (π)?

The value of pi (π) is approximately 3.14159.

What are the different parts of a circle?

A circle has a center, radius, diameter, circumference, and area.

What is the Pythagorean theorem for a right triangle inscribed in a circle?

The Pythagorean theorem for a right triangle inscribed in a circle states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What is the equation of a circle in coordinate geometry?

The equation of a circle in coordinate geometry is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the coordinates of the center and r represents the radius.

What are the properties of circles?

Some properties of circles include: all radii of a circle are congruent, the circumference of a circle is proportional to its diameter, and the tangent to a circle is perpendicular to the radius at the point of tangency.

How can you find the area of a sector in a circle?

To find the area of a sector in a circle, you can use the formula A = (θ/360) * πr^2, where A represents the area, θ represents the central angle in degrees, and r represents the radius.

What is the difference between a chord and a secant?

A chord is a line segment that connects two points on a circle, while a secant is a line that intersects a circle in two points.

What is the tangent of a circle?

The tangent of a circle is a line that touches the circle at exactly one point, known as the point of tangency.

How can you find the length of an arc in a circle?

To find the length of an arc in a circle, you can use the formula L = (θ/360) * 2πr, where L represents the length of the arc, θ represents the central angle in degrees, and r represents the radius.

What is the formula to find the radius of a circle?

The formula to find the radius of a circle is r = C/(2π), where r represents the radius and C represents the circumference.

What is the formula to find the diameter of a circle?

The formula to find the diameter of a circle is d = 2r, where d represents the diameter and r represents the radius.

What is a circle?

A circle is a closed curve in which all points are equidistant from a fixed point called the center.

What is the formula to find the circumference of a circle?

The formula to find the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.

What is the formula to find the area of a circle?

The formula to find the area of a circle is A = πr^2, where A represents the area and r represents the radius.

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

The diameter of a circle is twice the length of its radius.

What is the value of pi (π)?

The value of pi (π) is approximately 3.14159.

What are the different parts of a circle?

A circle has a center, radius, diameter, circumference, and area.

What is the Pythagorean theorem for a right triangle inscribed in a circle?

The Pythagorean theorem for a right triangle inscribed in a circle states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What is the equation of a circle in coordinate geometry?

The equation of a circle in coordinate geometry is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the coordinates of the center and r represents the radius.

What are the properties of circles?

Some properties of circles include: all radii of a circle are congruent, the circumference of a circle is proportional to its diameter, and the tangent to a circle is perpendicular to the radius at the point of tangency.

How can you find the area of a sector in a circle?

To find the area of a sector in a circle, you can use the formula A = (θ/360) * πr^2, where A represents the area, θ represents the central angle in degrees, and r represents the radius.

What is the difference between a chord and a secant?

A chord is a line segment that connects two points on a circle, while a secant is a line that intersects a circle in two points.

What is the tangent of a circle?

The tangent of a circle is a line that touches the circle at exactly one point, known as the point of tangency.

How can you find the length of an arc in a circle?

To find the length of an arc in a circle, you can use the formula L = (θ/360) * 2πr, where L represents the length of the arc, θ represents the central angle in degrees, and r represents the radius.

What is the formula to find the radius of a circle?

The formula to find the radius of a circle is r = C/(2π), where r represents the radius and C represents the circumference.

What is the formula to find the diameter of a circle?

The formula to find the diameter of a circle is d = 2r, where d represents the diameter and r represents the radius.

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