Arc lengths worksheets for gcse higher. These arc lengths worksheets are suitable for year 10 and year 11 working at grade 7 and grade 8. Each arc lengths worksheet is differentiated and visual. Arc lengths worksheet 1 contains questions on find areas of sectors and finding arc lengths. Arc lengths worksheet 2 helps students to derive the formula for arc length and arc lengths worksheet 3 contains questions on area sectors and arc lengths.
Arc Lengths Formula
The image below shows the formula for arc length. The symbol used to represent the angle of the sector for the arc length is known as theta Θ. Theta is a Greek letter. In the formula "r" represents the radius. In the formula the symbol π represents the irrational number pi (3.142...)
What is Pi?
Pi is an irrational number - it cannot be written as a fraction a / b. Pi continues infinitely. Pi is the most famous number in mathematics. March 14th is international Pi Day - it is also the birthday of famous mathematician and scientist Albert Einstein.
Arc Lengths Question and Answer One
Below shows an example of how to calculate the arc length. The radius is 8 cm. The missing angle theta, Θ, is 30 degrees. The final answer is 4.19 cm.
Arc Lengths Question and Answer Two
Example two asks for the missing angle Θ. It is given that the radius is 4.5 cm and the arc length is 2.8 cm. The final answer is Θ equals 35.65 degrees. The answer has been rounded to two decimal places.
Arc Lengths Worksheets