Week 13 Test

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle.

Tags

CCSS.HSG.C.A.2

Front

How many degrees are there in a full circle?

Back

There are 360 degrees in a full circle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the formula to calculate the arc length of a circle?

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

How do you calculate the area of a sector?

Back

Sector area = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

If the length of a 45° arc is 10 inches, how do you find the radius?

Back

Use the formula: Arc length = (θ/360) * 2πr. Rearranging gives r = (Arc length * 360) / (θ * 2π).

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the radius and the arc length for a given angle?

Back

The arc length is directly proportional to the radius for a given angle.

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply by π/180.

Tags

CCSS.HSF.TF.A.1

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle.

Tags

CCSS.HSG.C.B.5