Segment Lengths in Circles 2024

Front

What is the formula to find the length of a segment in a circle?

Back

The length of a segment in a circle can be found using the formula: Length = r * θ (in radians), where r is the radius and θ is the angle in radians.

Tags

CCSS.HSG.C.A.2

Front

Define a chord in a circle.

Back

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

Front

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

Back

The diameter is twice the length of the radius. (Diameter = 2 * Radius)

Tags

CCSS.7.G.B.4

Front

How do you calculate the circumference of a circle?

Back

Circumference = 2 * π * r, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the area of a circle?

Back

Area = π * r², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is a segment of a circle?

Back

A segment of a circle is the region bounded by a chord and the arc connecting the endpoints of the chord.

Front

What is the formula for the area of a segment in a circle?

Back

Area of a segment = Area of the sector - Area of the triangle formed by the radius and the chord.

Tags

CCSS.HSG.C.B.5

Front

What is the definition of a sector in a circle?

Back

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

Front

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

Back

Length of an arc = r * θ (in radians), where r is the radius and θ is the angle in radians.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the angles subtended by the same arc at the center and on the circumference of a circle?

Back

The angle subtended at the center is twice the angle subtended at the circumference.

Tags

CCSS.HSG.C.A.2