Arcs and Sectors Worksheet

Arcs and Sectors

Read each question carefully and provide your answers in the space provided. Show all your work for full credit. Use π ≈ 3.14 where necessary.

1. Find the length of the arc of a circle with a radius of 10 cm and a central angle of 60 degrees. Round your answer to two decimal places.

2. Calculate the area of a sector of a circle with a radius of 12 inches and a central angle of 90 degrees. Round your answer to two decimal places.

3. The formula for the length of an arc (s) with radius (r) and central angle (θ in radians) is s =  .

4. The formula for the area of a sector (A) with radius (r) and central angle (θ in degrees) is A =  .

5. A circle has a radius of 7 cm. If the length of an arc is 14 cm, what is the central angle of the arc in radians?

6. A circular pizza has a diameter of 16 inches. If a slice of pizza has a central angle of 45 degrees, what is the area of that slice? Round your answer to two decimal places.

7. Doubling the radius of a circle will double the arc length for a given central angle.