Circumference and Arc length

Front

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

Back

Circumference = 2 × π × radius or Circumference = π × diameter.

Front

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

Back

Circumference = 2 × π × 10 = 62.83 meters.

Front

Define arc length in a circle.

Back

Arc length is the distance along the curved line of a circle between two points.

Front

What is the formula for calculating the length of an arc?

Back

Arc Length = (θ/360) × Circumference, where θ is the angle in degrees.

Front

If a circle has a circumference of 31.4 cm, what is the radius?

Back

Radius = Circumference / (2 × π) = 31.4 / (2 × π) = 5 cm.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × radius.

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180).

Front

If the diameter of a wheel is 56.5 inches, what is its circumference?

Back

Circumference = π × 56.5 = 177.49 inches.

Front

What is the circumference of a circle with a radius of 13.8 meters?

Back

Circumference = 2 × π × 13.8 = 86.70 meters.

Front

Calculate the arc length for a circle with a radius of 24 feet and an angle of 165 degrees.

Back

Arc Length = (165/360) × (2 × π × 24) = 69 feet.