Arc Length and Sector Area

Front

What is the formula for the area of a sector?

Back

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

Front

How do you calculate the arc length of a sector?

Back

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

Front

What is the area of a circle with a radius of 10 inches?

Back

Area = πr² = π(10)² = 100π ≈ 314.16 in².

Front

If a pizza has a diameter of 16 inches, what is its radius?

Back

Radius = Diameter/2 = 16/2 = 8 inches.

Front

What is the area of a sector with a radius of 5 inches and a central angle of 90°?

Back

Area = (90/360) × π(5)² = (1/4) × 25π ≈ 19.63 in².

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180).

Front

What is the area of a sector with a radius of 6 inches and a central angle of 120°?

Back

Area = (120/360) × π(6)² = (1/3) × 36π ≈ 37.70 in².

Front

What is the arc length of a sector with a radius of 4 inches and a central angle of 60°?

Back

Arc Length = (60/360) × 2π(4) = (1/6) × 8π ≈ 4.19 in.

Front

If a circle has a radius of 3 cm, what is the circumference?

Back

Circumference = 2πr = 2π(3) = 6π ≈ 18.85 cm.

Front

What is the area of a sector with a radius of 10 inches and a central angle of 45°?

Back

Area = (45/360) × π(10)² = (1/8) × 100π ≈ 39.27 in².