Geometry- Circles

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 relationship between the radius and diameter of a circle?

Back

The diameter (d) of a circle is twice the radius (r), so d = 2r.

Front

What is a tangent line to a circle?

Back

A tangent line is a straight line that touches the circle at exactly one point.

Front

What is the measure of a central angle in 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

How do you find the measure of an inscribed angle?

Back

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

Front

What is an arc in a circle?

Back

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

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 angles formed by two tangents drawn from a point outside the circle?

Back

The angle formed by two tangents drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the definition of a chord in a circle?

Back

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