Arc Length Calculation Concepts

The video tutorial explains how to find the length of an arc using a given angle and radius. It starts with an introduction to the problem, followed by an explanation of the formula: arc length equals the angle divided by 360 degrees, multiplied by the circumference. The tutorial then demonstrates how to input known values into the formula and use a calculator to find the arc length, ensuring the result is corrected to two decimal places. The final answer is calculated and verified, concluding the problem-solving process.

What is the first step in finding the length of an arc?

• Divide the angle by 360

• Calculate the area of the circle

• Multiply the radius by 2

• Find the angle and radius

Which formula is used to find the length of an arc?

• Radius multiplied by pi

• Diameter divided by 2

• Angle multiplied by radius

• Angle divided by 360 multiplied by circumference

What are the known values needed to calculate the arc length?

• Circumference and diameter

• Radius and circumference

• Radius and angle

• Diameter and angle

If the angle is 80 degrees and the radius is 4 meters, what is the next step?

• Subtract the radius from the angle

• Add the angle and radius

• Divide the angle by 360

• Multiply the angle by the radius

How do you input the fraction in the calculator?

• Press the addition button

• Press the fraction button

• Press the division button

• Press the multiplication button

What is the denominator in the fraction for calculating arc length?

• 270

• 360

• 90

• 180

After entering the fraction, what is the next step in the calculator?

• Add 10

• Multiply by pi

• Subtract 5

• Divide by 2

What is the final multiplication step in the calculator?

• Multiply by 6

• Multiply by 3

• Multiply by 4

• Multiply by 5

How do you convert the result into decimal form?

• Press the addition button

• Press the subtraction button

• Press the multiplication button

• Press the conversion button

What is the final result of the arc length calculation?

• 5.59 feet

• 5.59 inches

• 5.59 centimeters

• 5.59 meters