arc length and sector area

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 formula for the area of a sector?

Back

Area of Sector = (θ/360) × πr², where θ is the angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

If the radius of a circle is 12 cm, what is the circumference?

Back

Circumference = 2πr = 2π(12) = 24π cm.

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 area of a circle with a radius of 5 cm?

Back

Area = πr² = π(5)² = 25π cm².

Tags

CCSS.7.G.B.4

Front

If a circle has a circumference of 31.4 cm, what is its radius?

Back

Radius = Circumference / (2π) = 31.4 / (2π) = 5 cm.

Tags

CCSS.7.G.B.4

Front

What is the arc length of a circle with a radius of 10 cm and an angle of 90 degrees?

Back

Arc Length = (90/360) × 2π(10) = 15.7 cm.

Tags

CCSS.HSG.C.B.5

Front

What is the area of a sector with a radius of 8 cm and an angle of 45 degrees?

Back

Area of Sector = (45/360) × π(8)² = 11.3 cm².

Tags

CCSS.HSG.C.B.5

Front

If the radius of a circle is doubled, how does the circumference change?

Back

Circumference doubles because C = 2πr.

Tags

CCSS.7.G.B.4