Sector Area and Arc Length

Front

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

Back

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

Front

Define sector area in a circle.

Back

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

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180).

Front

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

Back

Diameter = 2 * Radius.

Front

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

Back

Circumference = 2πr = 2π(10) = 62.83 units.

Front

Calculate the arc length for a circle with a radius of 5 units and an angle of 90 degrees.

Back

Arc Length = (90/360) * 2π(5) = 7.85 units.

Front

What is the area of a sector with a radius of 4 units and an angle of 60 degrees?

Back

Sector Area = (60/360) * π(4)² = 8.38 units squared.

Front

How do you find the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the formula for finding the circumference of a circle?

Back

Circumference = 2πr.

Front

If a circle has a radius of 3 units, what is the area?

Back

Area = π(3)² = 28.27 units squared.