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.

Front

How do you convert degrees to radians?

Back

Multiply the degree measure by π/180.

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.

Front

What is the relationship between degrees and radians?

Back

180 degrees = π radians.

Front

How do you find the area of a circle?

Back

Area = πr², where r is the radius.

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) = 15.71 cm.

Front

Convert 180 degrees to radians.

Back

180 degrees = π radians.

Front

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

Back

Area of Sector = (60/360) * π(5)² = 13.09 cm².

Front

If the arc length is 10 cm and the radius is 5 cm, what is the angle in degrees?

Back

Angle = (Arc Length / r) * (360/2π) = 114.59 degrees.

Front

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

Back

Area = π(5)² = 78.54 square inches.