Arc Measure and Area of a Sector

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft

• 15.8π ft

• 150.4π ft

• 54,150 ft

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

Find the area of the sector, rounding your answer to 1d.p.

• 67.1cm²

• 67.0cm²

• 16.8cm²

• 134.0cm²

FIND THE SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use π = 3.14 )

Length of the arc MN =

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use π = 3.14 )

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

What is the length L called?

• major arc

• tangent

• minor arc

• sector

Match the answers to the following problems.

• Problem 2

• Problem 4

• Problem 1

• Problem 3

Arc Length is found by finding a fraction of the ​ (a)   , while finding the area of a sector is found by finding a fraction of the ​ (b)   .

• cicumference

• area