Arc length

Front

What is the formula for arc length?

Back

Arc Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

What is the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

If the radius of a circle is 10 feet, what is the circumference?

Back

Circumference = 2π(10) = 20π feet.

Tags

CCSS.7.G.B.4

Front

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

Back

Diameter = 2 * Radius.

Tags

CCSS.7.G.B.4

Front

How do you convert degrees to radians?

Back

Radians = Degrees * (π/180).

Tags

CCSS.HSF.TF.A.1

Front

What is the arc length of a circle with a radius of 5 feet and an angle of 90 degrees?

Back

Arc Length = (90/360) * 2π(5) = (1/4) * 10π = 2.5π feet.

Tags

CCSS.HSG.C.B.5

Front

What is the area of a sector of a circle?

Back

Area of Sector = (θ/360) * πr², where θ is the angle in degrees.

Tags

CCSS.HSG.C.B.5

Front

If a circle has a radius of 12 feet, what is the area of the circle?

Back

Area = π(12)² = 144π square feet.

Tags

CCSS.7.G.B.4

Front

What is the minor arc?

Back

The minor arc is the shorter arc connecting two points on a circle.

Tags

CCSS.HSG.C.B.5

Front

What is the major arc?

Back

The major arc is the longer arc connecting two points on a circle.

Tags

CCSS.HSG.C.B.5