Arc Length and Sector Area

Front

What is the length L called?

Back

arc

Front

What is the area of a sector?

Back

The area of a sector is the region enclosed by two radii and the arc connecting them.

Tags

CCSS.HSG.C.B.5

Front

Calculate the area of the sector with a radius of 5 inches and a central angle of 60 degrees.

Back

The area is 13.09 sq. in.

Tags

CCSS.HSG.C.B.5

Front

An arc is a smaller piece of the...

Back

Circumference

Front

What is the green area called?

Back

sector

Tags

CCSS.7.G.B.4

Front

What is the formula for the length of an arc?

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the area of a sector?

Back

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

Tags

CCSS.HSG.C.B.5

Front

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

Back

The circumference is 62.83 ft.

Tags

CCSS.7.G.B.4

Front

What is a sector in a circle?

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.

Front

If the central angle of a sector is 90 degrees, what fraction of the circle does it represent?

Back

It represents 1/4 of the circle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1