Properties of 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 total number of degrees in a circle?

Back

360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

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.

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.7.G.B.4

Front

What is a chord in a circle?

Back

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

Front

What is a diameter?

Back

A diameter is a chord that passes through the center of the circle and is the longest chord.

Front

What is a radius?

Back

A radius is a line segment from the center of the circle to any point on the circle.

Front

What is an arc in a circle?

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is a sector of a circle?

Back

A sector is a region enclosed by two radii and the arc between them.

Front

What is the relationship between the central angle and the arc length?

Back

The arc length is directly proportional to the central angle in radians.

Tags

CCSS.HSG.C.B.5