Arc Length / Area of a Sector / Degrees to Radians

Front

What is the formula to convert degrees to radians?

Back

Radians = Degrees × (π/180)

Front

What is the formula to find 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

What is the area of a sector of a circle?

Back

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

Front

Convert 75 degrees to radians.

Back

75 degrees = 5π/12 radians.

Front

Convert 4π/3 radians to degrees.

Back

4π/3 radians = 240 degrees.

Front

Find the arc length of a circle with radius 7 and angle 90 degrees.

Back

Arc Length = (90/360) × 2π(7) = (1/4) × 14π = 3.5π.

Front

Convert 40 degrees to radians.

Back

40 degrees = 2π/9 radians.

Front

What is the area of a sector with radius 5 and angle 60 degrees?

Back

Area = (60/360) × π(5)² = (1/6) × 25π = 25/6π.

Front

What is 180 degrees in radians?

Back

180 degrees = π radians.

Front

What is the relationship between degrees and radians?

Back

180 degrees = π radians, meaning 1 degree = π/180 radians.