Calculating Arc Lengths of Circles

What formula is used to calculate the circumference of a circle?

• Circumference = 2 * radius

• Circumference = radius * diameter

• Circumference = pi * diameter

• Circumference = 2 * pi * radius

How do you find the arc length of a semicircle?

• Multiply pi by the diameter and then divide by 2

• Multiply the circumference by 2

• Multiply pi by the radius

• Divide the circumference by 2

What is the arc length of a semicircle with a diameter of 6 meters, rounded to two decimal places?

• 18.84 meters

• 9.40 meters

• 9.42 meters

• 3.14 meters

For a quarter circle, how is the arc length calculated?

• Divide the diameter by 4

• Divide the circumference by 4

• Multiply the diameter by pi and divide by 4

• Multiply the radius by pi

What is the arc length of a quarter circle with an 8 cm radius, given in terms of pi?

• 16 pi cm

• 2 pi cm

• 4 pi cm

• 8 pi cm

How do you calculate the arc length of a sector with a specific degree?

• Multiply the circumference by the sector's degree divided by 360

• Divide the circumference by the sector's degree

• Multiply the diameter by the sector's degree

• Divide the diameter by the sector's degree divided by 360

What is the arc length of a sector with 37 degrees and a 12 cm radius, rounded to two decimal places?

• 3.87 cm

• 14.98 cm

• 7.49 cm

• 7.75 cm

If the radius of a circle is 5.5 meters, what is the diameter?

• 22 meters

• 5.5 meters

• 11 meters

• 10 meters

What fraction of the circle does a sector of 123 degrees represent?

• 123/360

• 123/180

• 360/123

• 180/123

What is the arc length of a sector with 123 degrees and a radius of 5.5 meters, to two decimal places?

• 11.80 meters

• 5.90 meters

• 11.81 meters

• 23.62 meters