FIND AREA OF SECTOR WHEN ANGLE IS GIVEN IN RADIAN WORKSHEET

Problem 1 :

Use radians to find the arc length and area of a sector of a circle of :

a. radius 9 cm and angle 7π/4

b. radius 4.93 cm and angle 4.67 radians.

Solution

Problem 2 :

A sector has an angle of 1.19 radians and an area of 20.8 cm². Find its :

a. radius  b. perimeter

Solution

Problem 3 :

Find, in radians, the angle of a sector of :

a. radius 4.3 m and arc length 2.95 m

b. radius 10 cm and area 30 cm²

Solution

Problem 4 :

Find θ (in radians ) for each of the following, and hence find the area of each figure :

a.

b.

c.

Solution

Problem 5 :

Find the arc length and area of a sector of radius 5 cm and angle 2 radians.

Solution