Circles Review

Front

What is the definition of a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by the formula C = 2πr, where r is the radius.

Front

What is the formula for 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 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 a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

What is the central angle of a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

What is the relationship between inscribed angles and their intercepted arcs?

Back

The measure of an inscribed angle is half the measure of its intercepted arc.

Front

What is the equation of a circle in standard form?

Back

The standard form of the equation of a circle is (x-h)² + (y-k)² = r², where (h,k) is the center and r is the radius.