Area of Sector and Arc Length

Front

What is the formula for the arc length of a circle?

Back

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

Front

How do you calculate the area of a sector of a circle?

Back

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

Front

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

Back

The radius is half of the diameter. r = d/2.

Front

If a circle has a radius of 5 units, what is the circumference?

Back

Circumference = 2πr = 2π(5) = 10π units.

Front

How do you convert radians to degrees?

Back

Degrees = Radians * (180/π).

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

If a pizza has a diameter of 12 inches, what is the radius?

Back

Radius = Diameter/2 = 12/2 = 6 inches.

Front

What is the arc length of a circle with a radius of 4 units and a central angle of 90 degrees?

Back

Arc Length = (90/360) * 2π(4) = 2π units.

Front

How do you find the area of one slice of pizza if the pizza is cut into equal slices?

Back

Area of one slice = Total Area of Pizza / Number of Slices.

Front

What is the area of a sector with a radius of 3 units and a central angle of 60 degrees?

Back

Area of Sector = (60/360) * π(3)² = (1/6) * 9π = 1.5π square units.